With each purchase of a large pizza at Tony’s Pizza, the customer receives a cou

Question

With each purchase of a large pizza at Tony’s Pizza, the customer receives a coupon that can be scratched to see if a prize will be awarded. The odds of winning a free soft drink are 1 in 10, and the odds of winning a free large pizza are 1 in 50. You plan to eat lunch tomorrow at Tony’s. What is the probability:

a. That you will win either a large pizza or a soft drink?
b. That you will not win a prize?
c. That you will not win a prize on three consecutive visits to Tony’s?
d. That you will win at least one prize on one of your next three visits to Tony’s?

Explanation / Answer

a) Pr[ win pizza or win soft drink] = (1/50) + (1/10) = 3/25 = 0.12 b) Pr[ not winning either] = 1 - (3/25) = 22/25 = 0.88 c) Pr[not winning in next 3 visits] = (0.88)*(0.88)*(0.88) = 0.681472 d) Pr[at least 1 win in next 3 visits] = 1 - 0.681472 = 0.318528

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