A state runs a lottery in which five numbers are randomly selected from 1 to 59

Question

A state runs a lottery in which five numbers are randomly selected from 1 to 59 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? What is the probability that four of the five numbers chosen by a player appear in the state's sample? A state runs a lottery in which five numbers are randomly selected from 1 to 59 without replacement and one special number is randomly selected from 1 to 35 independently from the previous five numbers. A player chooses five numbers and one special number before the state's sample is selected. What is the probability that the six numbers chosen by a player match all six numbers in the state's sample? (Grand Prize!)

Explanation / Answer

a) given, total # of numbers= 59

prob of all 5 numbers being same=

1/(59C5)=

(b) 1/(59C4)=

Bonus:

1/(59C5) * 1/(35C1)

1.99745E-07

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