A state runs a lottery in which 5 numbers are randomly selected from 50, without replacement. A player chooses 8 numbers before the state’s sample is selected: a)What is the probability that 4 of the 5 numbers chosen by a player appear in the state’s sample? b)What is the probability that the 5 numbers chosen by a player match all 5 numbers in the state’s sample?  c) What is the probability that 3 of the 5 numbers chosen by a player appear in the state’s sample?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A state runs a lottery in which 5 numbers are randomly selected from 50, without replacement. A player chooses 8 numbers before the state’s sample is selected:

a)What is the probability that 4 of the 5 numbers chosen by a player appear in the state’s sample?

b)What is the probability that the 5 numbers chosen by a player match all 5 numbers in the state’s sample? 

c) What is the probability that 3 of the 5 numbers chosen by a player appear in the state’s sample? 

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