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Probability Assignment | Professional Writing Services

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January 29th, 2020

A state runs a lottery in which 6 numbers are randomly selected from 45, 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 a player match all 6 numbers in the state’s sample?

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(b) What is the probability that 5 of the 6 numbers chosen by a player appear in the state’s sample?(c) What is the probability that 4 of the 6 numbers chosen by a player appear in the state’s sample?(d) If a 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?

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