A state runs a lottery in which six numbers are randomly selected from 40, without

Chapter 3, Problem 3-124

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A state runs a lottery in which six numbers are randomly selected from 40, without replacement. A player chooses six numbers before the states sample is selected. (a) What is the probability that the six numbers chosen by a player match all six numbers in the states sample? (b) What is the probability that five of the six numbers chosen by a player appear in the states sample? (c) What is the probability that four of the six numbers chosen by a player appear in the states sample? (d) If a player enters one lottery each week, what is the expected number of weeks until a player matches all six numbers in the states sample?

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