A state runs a lottery in which five numbers are randomly selected from 30 without replacement. A player chooses five numbers before the state's sample is selected. What is the probability that the five numbers chosen by a player match all five numbers in the state’s sample? Let X denote the count of the numbers in the state's sample that match those in the player's sample. Then, X has a hypergeometric distribution. (Show solutions) O a. NONE O b.2.61 x 10-7 O c. 7.0172 x 10-6 O d.0.3728

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A state runs a lottery in which five numbers are randomly selected from 30 without replacement.
A player chooses five numbers before the state's sample is selected. What is the probability that
the five numbers chosen by a player match all five numbers in the state's sample?
Let X denote the count of the numbers in the state's sample that match those in the player's
sample. Then, X has a hypergeometric distribution. (Show solutions)
a. NONE
O b. 2.61 x 10-7
O c. 7.0172 x 10-6
O d. 0.3728
Transcribed Image Text:A state runs a lottery in which five numbers are randomly selected from 30 without replacement. A player chooses five numbers before the state's sample is selected. What is the probability that the five numbers chosen by a player match all five numbers in the state's sample? Let X denote the count of the numbers in the state's sample that match those in the player's sample. Then, X has a hypergeometric distribution. (Show solutions) a. NONE O b. 2.61 x 10-7 O c. 7.0172 x 10-6 O d. 0.3728
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