Question

A player in the Powerball lottery picks five different integers between 1 and 69, inclusive, and a sixth integer between 1 and 26, which may duplicate one of the earlier five integers. The player wins the jackpot if all six numbers match the numbers drawn.

a) What is the probability that a player wins the jackpot?

b) What is the probability that a player wins $1,000,000, which is the prize for matching the first five numbers, but not the sixth number, drawn?

c) What is the probability that a player wins $100 by matching exactly three of the first five and the sixth numbers drawn, or four of the first five numbers, but not the sixth number, drawn?

d) What is the probability that a player wins a prize of $4, which is the prize when the player matches the sixth number, and either one or none of the first five numbers drawn?

Answer 1

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