A Survey of Mathematics with Applications (11th Edition)

Chapter 11

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experiment ; Any controlled operation that ... more

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outcomes ; When an experiment is carried out, ... more

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event ; Out of all possible outcomes of an ... more

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empirical ; The probability obtained by the actual... more

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theoretical ; The type of probability determined ... more

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equally ; If each outcome of an experiment has an ... more

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1 ; The sum of the probabilities associated with ... more

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1 ; The sum of the probabilities of occurrence of ... more

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; Assume the event to be denoted by , then   is... more

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; Since the cooler has 100 ice cream bars, the ... more

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; Since the cooler has 100 ice cream bars, the ... more

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; Since the cooler has 100 ice cream bars, the ... more

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; Since the cooler has 100 ice cream bars, the ... more

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; Since the wheel of fortune is divided into 12 ... more

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; The given word has 9 letters that means the ... more

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; The given word has 9 letters that means the ... more

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; The given word has 9 letters that means the ... more

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; The given word has 9 letters that means the ... more

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0 ; The given word has 9 letters that means the ... more

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; The given word has 9 letters that means the ... more

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No, the statement means that heads can be one of ... more

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No, the statement means that 4 can be one of the ... more

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May or may be not; It means that an average person... more

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; Assume the sides of the square table top are of... more

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; Assume the length of the side of the square ... more

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; Assume the sides of the square table top are 6 ... more

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; Assume the sides of the square table top is of... more

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; Let the sides of the square table top be units... more

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; Let the sides of the square table top be units... more

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; Assume the sides of the square table top is of... more

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; Assume the sides of the square table top is of... more

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; Assume to be the event of obtaining exactly one... more

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29 ; On moving around the table, two opposite ... more

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Insurance premium depends on the type of insurance... more

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 Earliest known person in Bernoulli family is Leon... more

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Against  ; An odd against an event is the ratio of... more

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In Favour of ; Odds in favor of an event is the ... more

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; Calculate the odds in favor of the event ... more

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; Calculate the odds against the event occurring ... more

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; Since the odds against the event is , ... more

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or ; When a die is rolled, there are 6 possible ... more

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or ; When a die is rolled, there are 6 possible ... more

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or or ; Since a deck of cards has 52 cards out ... more

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; Let "the landing of spinner on red color" be a ... more

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; Let "the landing of spinner on red color" be a ... more

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; Let "the landing of spinner on red color" be a ... more

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; Let "the landing of spinner on red color" be a ... more

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or ; There are 15 possible outcomes.Assume ... more

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or ; There are 15 possible outcomes.Assume ... more

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or ; There are 15 possible outcomes.Assume ... more

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or ; There are 15 possible outcomes.Assume ... more

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or ; There are 15 possible outcomes.Assume ... more

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or ; 15 billiard balls indicate 15 possible ... more

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; Total number of bingo balls are 75 while the ... more

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; Total number of bingo balls are 75 while the ... more

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; Total number of bingo balls are 75 while the ... more

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; The number of Object B that contains letter B ... more

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; The total number of Object B is 75, out of ... more

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; The total number of Object B is 75, out of ... more

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or ; Assume a mechanic fixing a car correctly as ... more

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or ; Assume “the cartoon has all the parts that ... more

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, , , ; For horse number 2:Assume the winning of ... more

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expected ; The sum of the product of the ... more

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negative ; If there is a loss in an experiment in ... more

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positive ; If there is a gain in an experiment in ... more

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0 ; If there is no gain or loss in an experiment ... more

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52 ; Subtract 20 from 100 to determine the ... more

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$11,200 ; Subtract 20 from 100 to determine the ... more

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; Substitute for , for , for , 0 for , for , ... more

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; The circle is divided into two parts.The ... more

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; The circle is divided into 3 parts.The amount ... more

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; The circle is divided into 3 parts.The amount ... more

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; The circle is divided into three parts.The ... more

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; Out of the 6 envelops, 3 contain cheques.Find ... more

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; Out of the 6 envelops, 4 contain cheques.Find ... more

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; Probability of selecting each envelope is .... more

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; Out of the 6 envelops, 2 contains cheques.Find... more

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; Out of 4 envelops, 2 contain check.Find the ... more

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; Out of 4 envelops, 3 contain check.Find the ... more

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; Each envelope has a different check. So, the ... more

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; Out of 4 envelops, 2 contain check.Find the ... more

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Gain of 290 ; The percentages, , and can be ... more

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gain ; Find BMLI’s net loss if the woman dies ... more

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56 ; Find the probability that the new programs ... more

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gain ; Substitute for, 450,000 for, for , 120,... more

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; The percentages , , and can be rewritten as ... more

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; Since a year has a total of 365 days, the ... more

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gain ; The percentages , , and can be rewritten ... more

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; Substitute for expected value and for cost to... more

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; Substitute for expected value and for cost to... more

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The expected amount should be positive for a ... more

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No; the particular number selected by a person and... more

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; Let be the probability that the ball lands on ... more

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; Let be the probability that the ball lands on ... more

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Sample ; The representation of all attainable ... more

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Point ; Each possibility of an experiment is a ... more

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24 ; As per the counting principle, the number of ... more

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Tree ; An important tool to find and show sample ... more

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3 ; All the conditions will be satisfied when the ... more

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Compound ; In an experiment, if one calculates the... more

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Or ; When probability problems contain the words '... more

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And ; When probability problems contain the words... more

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Mutually ; Two events are mutually exclusive when ... more

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Independent ; For two events A and B, if the ... more

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dependent ; If the occurrence of event A affects ... more

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independent ; The probability of experiment ... more

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dependent ; The probability of experiment ... more

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; Let represent the probability of event A, ... more

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; Let represent the probability of event A, ... more

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; Substitute for , for , and for into the ... more

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;  Substitute for , for ,and for into the ... more

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;  Substitute for , for , and for into the ... more

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; When a dice is rolled one time, the total ... more

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; When a dice is rolled one time, the total ... more

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; When a dice is rolled one time, the total ... more

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; Total number of possible outcomes is 20.Find ... more

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;  Total number of possible outcomes is 20.Find ... more

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; Total number of possible outcomes is 20.Find ... more

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; Total number of possible outcomes is 20.Find ... more

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; Draw a dotted line to divide the circle into ... more

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; Draw a dotted line to divide the circle into ... more

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; Draw a dotted line to divide the circle into ... more

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; Draw a dotted line to divide the circle into ... more

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; Draw a dotted line to divide the first circle ... more

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; Draw a dotted line to divide the first circle ... more

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; Draw a dotted line to divide the first circle ... more

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; Draw a dotted line to divide the first circle ... more

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; Since there are a total of 7 envelopes, out of ... more

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; Since there are a total of 7 envelopes, out of ... more

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; Since there are a total of 7 envelopes, out of ... more

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;  Since there are a total of 7 envelopes, out of... more

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; Since there are a total of 7 envelopes, out of ... more

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; Since there are a total of 7 envelopes, out of ... more

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; Since there are a total of 7 envelopes, out of ... more

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; Since there are a total of 7 envelopes, out of ... more

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; Since there are a total of 7 envelopes, out of ... more

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;  Since there are a total of 7 envelopes out of ... more

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;  Let be the probability of a boy being born.... more

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; Let be the probability of a boy getting born.... more

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;  Let be the probability that a childbeing born... more

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; Let be the probability that a child being born... more

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; Let A be an event where a person without ... more

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; Let A be an event where a person with a managed... more

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;  Let A be an event where a person without ... more

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; Let A be an event where a person with ... more

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;  Let A be an event where a person who ... more

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; Let A be an event where a person who does not ... more

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;  Let A be an event where a person who does not ... more

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;  Let A be an event where a person who ... more

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; Let A be the event that pointer lands on the ... more

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; Let A be the event that pointer lands on the ... more

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; Let A be the event that the pointer lands on ... more

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; Let A be the event that the pointer lands on ... more

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; The probability of hitting the target is .... more

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; The probability that the first torpedo hit the ... more

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; The probability that the first torpedo hit the ... more

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; The probability that the first torpedo hit the ... more

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; Total number of chips in bag is 10, out of ... more

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; Total numbers of coins are 10, out of which 3 ... more

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The game favors the dealer, as the probability of ... more

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; Find the probability of selecting two cards ... more

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; When a dice is rolled, the possible number of ... more

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; When a dice is rolled, the possible number of ... more

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; When a dice is rolled, the possible number of ... more

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1 ; When a dice is rolled, the possible number of ... more

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The poly mathematician G. Cardano was born in ... more

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Conditional ; The probability of an event ... more

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; The probability of an event occurring when an ... more

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; Substitute the value of and into the formula ... more

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; Substitute the value of and into the formula ... more

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; There are four odd numbers, 1, 3, 5, and 7. Out... more

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; Out of seven numbers, three numbers, 5, 6, and ... more

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1 ; Out of seven figures, three are circles and ... more

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; Out of 7 figures, 2 are triangles.Of the 2 ... more

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; Out of 7 numbers, 3 numbers, 1, 2, and 3, are ... more

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0 ; Out of 7 numbers, 4 numbers, 1, 3, 5, and 7, ... more

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; Out of 12 sections, 5 are of purple color.Of ... more

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; Out of 12 sections, 3 are of red color.Of the 3... more

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; Out of 12 sections, 6 numbers, 2, 4, 6, 8, 10, ... more

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; Out of 12 sections, 6 numbers, 1, 3, 5, 7, 9, ... more

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; Out of 12 sections, 5 are of purple color.Of ... more

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; Out of 12 sections, 5 sections are purple and 3... more

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; Out of 12 numbers, 7 numbers, 6, 7, 8, 9, 10, ... more

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0 ; Out of 12 numbers, 2 numbers, 11 and 12, are ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Use a tree diagram to construct the sample ... more

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; Out of total 650 clients, Approach A was ... more

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; Out of total 650 customers, there was a sale in... more

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; Let and be two events, where be "the passive ... more

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; Let and be two events where be "the approach ... more

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; Let and be two events where be "the approach ... more

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; Let and be two events where be "the approach ... more

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; Out of total 330 object LB, 300 are good.  ; more

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; Let and be two events where be "the object LB... more

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; Let and be two events where be “the object LB... more

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; Let and be two events where be “the object LB... more

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; Let and be two events where be “the object LB... more

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; Let and be two events where be "the object LB... more

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; Out of a total of 200 stocks, find the number ... more

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; Out of a total of 200 stocks, find the number ... more

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; Let and be two events where be "the stock is ... more

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; Let and be two events where be “the stock is ... more

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The probability is given as while the ... more

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; The given probability indicates the probability... more

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; The conditional probability, , represents the ... more

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; The given probability indicates the probability... more

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; The given probability indicates the probability... more

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; The given probability indicates the probability... more

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; There are three circles with the"" sign. Out of... more

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Permutation ; Permutation is the arrangement of ... more

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Counting ; The counting principle states that, if ... more

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; The number of permutations of distinct items ... more

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; The number of permutations of distinct items ... more

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; The formula for the number of permutations, ... more

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; When there are duplicate terms, to find the ... more

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; The permutation notation for selecting out of... more

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; The permutation notation for selecting out of... more

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; The formula for the number of permutations of ... more

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; The formula for the number of permutations of ... more

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; Substitute 5 for and 2 for into the ... more

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; Substitute 4 for and 3 for into the ... more

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1 ; Substitute 8 for and 0 for into the ... more

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1 ; Substitute 6 for and 0 for into the formula... more

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6 ; Substitute 3 for and 3 for into the formula... more

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1680 ; Substitute 8 for and 4 for into the ... more

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10,000 ; The positions needed to be filled are 4 ... more

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; 3 positions are needed to be filled.The number ... more

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; 4 positions are needed to be filled.The number ... more

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; 4 positions are needed to be filled.The number ... more

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;  3 positions are needed to be filled.The ... more

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; 9 positions are needed to be filled.The number ... more

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720 ; The total number of members is 10 and the ... more

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210 ; The total number of entries is 7 and the ... more

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15,120 ; The total number of colored flags is 9 ... more

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524,160 ; The total number of participants is 16 ... more

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32,760 ; The total number of participants is 15 ... more

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362,880 ; The word consists of nine letters, and ... more

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50,400 ; The word consists of 10 letters out of ... more

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226,800 ; The word consists of 10 letters out of ... more

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630 ; The number consists of seven digits out of ... more

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420 ; The number consists of seven digits out of ... more

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337 ; The total number of candidates, , is 8 and ... more

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seconds ; The total number of letters, , is 7 and... more

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2100 seconds ; The total numbers of letters are 7 ... more

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Replace with in the permutation formula, . ; For ... more

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56 ; The total numbers of stations, , is 8 and the... more

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600 ; The total number of stops, , is 25 and the ... more

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 ISBN is a unique number assigned to each latest ... more

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Combination ; A combination is an arrangement of ... more

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; A combination is an arrangement of objects ... more

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Permutation ; Determine whether the order of ... more

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Combination ; A combination is an arrangement of ... more

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10 ; Substitute 5 for and 3 for into the ... more

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28 ; Substitute 8 for and 2 for into the ... more

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; Substitute 3 for and 2 for into the ... more

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; Substitute 5 for and 3 for into the ... more

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; Substitute 8 for and 5 for into the ... more

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; Substitute 4 for and 2 for into the ... more

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; Substitute 4 for and 3 for into the ... more

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; Substitute 6 for and 4 for into the ... more

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120 ways. ; The problem is a combination problem ... more

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1140 ; ·       The problem is a combination ... more

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15 ; The problem is a combination problem because ... more

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36 ; The problem is a combination problem because ... more

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; The problem is a combination problem because ... more

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28 ; Substitute 8 for and 2 for into the ... more

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24 ; A standard deck of cards contains 52 cards in... more

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48 ;  A standard deck of cards contains 52 cards ... more

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150 possible combinations ; Substitute 5 for   and... more

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2352 ; Substitute 9 for and 3 for into the ... more

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2,477,475 ; Substitute15 for and 6 for into the ... more

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; Substitute 7 for   and 4 for   into the ... more

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8820 ; Substitute 10 for and 5 for into the ... more

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700 ; Substitute 8 for and 4 for into the ... more

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1120 ; Substitute 6 for and 3 for into the ... more

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600 ; Substitute 5 for and 2 for into the ... more

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42,336 ; Substitute 8 for and 3 for into the ... more

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Apply the formula for combination, , in the left ... more

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60,060 ; Apply the counting principle as there are... more

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The combinatorics branch of mathematics is related... more

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; The number of ways of selecting three kings ... more

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; The number of ways of selecting three vowels ... more

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; The number of ways of selecting five people ... more

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; The number of ways of selecting five criminal ... more

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; The number of students who do not have their ... more

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; The number of ways of selecting two diet soda ... more

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; The number of ways of selecting three green ... more

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; The number of ways of selecting two $5 bills ... more

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; The number of ways of selecting two oat cereals... more

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; The number of ways of selecting one wheat ... more

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; The number of ways of selecting two oat cereals... more

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; Since the sum of the probabilities of no oat ... more

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; The number of ways of selecting three kings ... more

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; For any four different cards from 1 to 52, the ... more

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1 ; Difference between population, that is, 100,... more

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trials ; The binomial experiment is used when ... more

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failure ; In a binomial experiment, there are two ... more

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success ; In a binomial experiment, there are two ... more

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failure ; In a binomial experiment, there are two ... more

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; In order to obtain , calculate the value of , ... more

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; In order to obtain , calculate the value of , ... more

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;  In order to obtain , calculate the value of , ... more

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;   It is required to determine the probability ... more

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;    It is required to find the probability that ... more

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; The probability of success, , is or .... more

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; The probability of success, , is or .... more

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0 ; In order to determine the probability of the ... more

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The law of large numbers statesthat the statements... more

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The empirical probability states that as the ... more

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; Let be the event that the person purchases a ... more

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; Let be the event of an individual watching ABC ... more

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; The total numbers from 0 to 9 are 10.The even ... more

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; The odd numbers from 0 to 9 are 1,3,5,7, and 9... more

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1 ; The numbers greater than 2 are 3,4,5,6,7, 8, ... more

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; There are total 10 numbers from 0 to 9.The ... more

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; The total number of customers is 60.The number ... more

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; The total number of customers is 60.The number ... more

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; The total number of customers is60.The number ... more

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; The total number of customers is60.The number ... more

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; The total number of cans is 8. The total number... more

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; Assume winning of Trophy TC by Person B in a ... more

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; The probability that a new restaurant for Dish ... more

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660 ; Let be the probability of a sunny day and ... more

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; Substitute for the expected value and for the... more

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; Substitute for the expected value and for the... more

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; The outer wheel is divided into eight equal ... more

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;  Let be the event where the pointer lands on a... more

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;  Let be an event in which the pointer lands on... more

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; Let be an event in which the pointer lands on ... more

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;  Let be an event in which the pointer lands on... more

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;  Let be an event in which the pointer lands on... more

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; Find the number of ways for selecting three ... more

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; Find the number of ways of selecting three ... more

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;  Selecting three bottles that do not contain ... more

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;  The first favorable outcome is selecting a ... more

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; The spinner is divided into eight parts, out of... more

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Favor: ; Against: ; From part (a), the probability... more

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$ ; Divide the given image into 8 equal parts out ... more

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;  Divide the given image into 8 equal parts out ... more

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; From the table given in the problem, out of 200... more

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; Assume that is the event of selecting a person... more

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; Assume that is the event of selecting a person... more

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; Assume that is the event of selecting a person... more

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; From the table, out of 400 people, 230 are ... more

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; Assume that is the event of selecting a person... more

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; Assume that is the event of selecting a person... more

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; Assume that is the event of selecting a person... more

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30 ; Find the total number of possible ... more

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720 ; Use the permutation to select 3 items out of... more

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504 ; Use the permutation to select 3 from 9.... more

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20 ; The problem is a combination problem because ... more

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3,628,800 ; Arrange 10 number of H breed dogs ... more

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35,640 ; Select the 2 parents from total 10 ... more

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560 ; Select the 3 men out of 8 men using the ... more

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; Find the number of ways of selecting 2 aces ... more

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; Let , be the probability of randomly selecting ... more

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; Let , be the probability of randomly selecting ... more

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; Let be the probability of randomly selecting 3... more

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; Let denote the event of selecting the first ... more

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; Find the number of ways of selecting 3 MT ... more

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; Find the number of ways of selecting 2 P ... more

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; MT and S magazines will be selected when no P ... more

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; MT and S magazines will be selected when no P ... more

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; The probability of the success, , is or in ... more

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; Let be the event that the next person ... more

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; The total number of outcomes is 9.The numbers ... more

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; The total number of outcomes is 9.         The ... more

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; The total number of outcomes is 9.The even ... more

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; Let be an event where a sheet with a number ... more

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;  Let be an event where a sheet with an odd ... more

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; Let be an event where a sheet with a number ... more

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; Let be an event where a red card is obtained ... more

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18 ; Any one colored chip can occur from the 3 ... more

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; Make a probability tree by showing all the ... more

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; List the sample points of the sample space when... more

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; List the sample points of the sample space when... more

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; List the sample points of the sample space when... more

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1,581,840 ; The first place is a letter that can ... more

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$0 ; Let be the probability of picking a club and... more

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120 ; Three individuals are to be selected from 6... more

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;  Let selecting a person who is accepted be a ... more

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