KENTUCKY PICK 4 In the Kentucky Pick 4 lottery game, you can pay $1 for a “straight” bet in which you select four digits with repetition allowed. If you buy only one ticket and win, your prize is $2500. a. If you buy one ticket, what is the probability of winning? b. If you play this game once every day, find the mean number of wins in years with exactly 365 days. c. If you play this game once every day, find the probability of no wins in 365 days.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 5CC
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KENTUCKY PICK 4 In the Kentucky Pick 4 lottery game, you can pay $1 for a “straight” bet in which you select four digits with repetition allowed. If you buy only one ticket and win, your prize is $2500.

a. If you buy one ticket, what is the probability of winning?

b. If you play this game once every day, find the mean number of wins in years with exactly 365 days.

c. If you play this game once every day, find the probability of no wins in 365 days.

d. Find the expected value for the purchase of one ticket.

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