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nd a sixth integer between 1 and

nd a sixth integer between 1 and

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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A player in the Powerball lottery picks five different integers between 1 and 69, inclusive, and a sixth integer between 1 and 26, inclusive, which may duplicate one of the earlier five integers. The player wins the jackpot (currently $421 million) if the first five numbers picked match the first five numbers drawn (in any order) and the sixth number picked matches the sixth number drawn. a. What is the probability that a player wins the jackpot? b. What is the probability that a player wins $1,000,000 by matching the first five numbers drawn (in any order) but not the sixth number? c. What is the probability that a player wins $7 by matching exactly two of the first five numbers drawn (in any order) and the sixth number or three of the first five numbers drawn (in any order) but not the sixth number? 3.
Transcribed Image Text:A player in the Powerball lottery picks five different integers between 1 and 69, inclusive, and a sixth integer between 1 and 26, inclusive, which may duplicate one of the earlier five integers. The player wins the jackpot (currently $421 million) if the first five numbers picked match the first five numbers drawn (in any order) and the sixth number picked matches the sixth number drawn. a. What is the probability that a player wins the jackpot? b. What is the probability that a player wins $1,000,000 by matching the first five numbers drawn (in any order) but not the sixth number? c. What is the probability that a player wins $7 by matching exactly two of the first five numbers drawn (in any order) and the sixth number or three of the first five numbers drawn (in any order) but not the sixth number? 3.
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