What is the expected number of weeks until a player matches

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Reference no: EM13217919

A state runs a lottery in which 6 numbers are randomly selected from 40, without replacement. A player chooses 6 numbers before the state's sample is selected.

a. What is the probability that the 6 numbers chosen by the player match all 6 numbers in the state's sample?
b. What is the probability that 5 of the 6 numbers chosen by the player match all 6 numbers in the state's sample?
c. What is the probability that 4 of the 6 numbers chosen by the player match all 6 numbers in the state's sample?
d. If the player enters one lottery each week, what is the expected number of weeks until a player matches all 6 numbers in the state's sample?

Reference no: EM13217919

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