Exam 10: Probability

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And:or as

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The probability of obtaining 2 heads out of 3 flips of a coin is

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In which of the following instances are the events mutually exclusive? (a)Obtaining a head on the first toss and a tail on the second toss of a coin. (b)Being a male and being pregnant. (c)Being 45 years old and being pregnant. (d)Obtaining a grade of A and obtaining a grade of C in your first course in statistics. (e)Obtaining three aces in two consecutive hands dealt each time from a complete, well-shuffled deck of playing cards. (f)Disliking music and attending a concert. (g)Obtaining a three and an even number on a single roll of a die. (h)Winning on one play of a slot machine and winning on the very next play. (i)Being 15 years old and voting in the last national election.

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A slot machine has three wheels that rotate independently. When the lever is pulled, the wheels rotate and then come to a stop, one by one, in random positions. The circumference of each wheel is divided into 25 equal parts and contains four pictures each of six different fruits and one picture of a jackpot label. -Suppose you pull the lever on the slot machine of above. What is the probability that (a) an orange will appear on exactly two of the wheels? (b)an orange will appear on at least two of the wheels? (c)a jackpot label will appear on at least one of the wheels?

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The probabilities of occurrence of events A, B, and C are .2, .3, and .3, respectively. If any one of the events occurs, the others can't. What is the probability of either A or C occurring?

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At a banquet for 300 people, one TV, three turkeys, and six symphonic records are to be awarded as door prizes. Ten slips of paper, each with the name of a prize on it, have been hidden under 10 of the dinner plates on a random basis. What is the probability that a particular guest will win (a) the TV (b)a symphonic record (c)a door prize of some kind

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Suppose you pull the lever on the slot machine described in Problem 2. What is the probability that (a) either an orange or a lemon or a jackpot label will appear on the middle wheel? (b)a jackpot label will appear on all three wheels? (c)cherries will appear on all three wheels?

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The probability of joint occurrence of several events is the

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The probability of an event may be thought of as the proportion of times that event occurs in

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