With each purchase of a large pizza at Tonys Pizza the custo

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 probability of winning a free soft drink is 0.10, and the probability of winning a free large pizza is 0.02. You plan to eat lunch tomorrow at Tony\'s. What is the probability:

That you will win either a large pizza or a soft drink?

That you will not win a prize?

That you will not win a prize on three consecutive visits to Tony\'s?

That you will win at least one prize on one of your next three visits to Tony\'s?

Solution

The probability of winning either a large pizza or a soft drink= 0.10+0.02=0.12

The probability of not winning a prize is 1-(0.10+0.02)=0.88

The probability of not winning a prize on three consecutive visits to Tony\'s is 0.88^3=0.681

The probability of winning at least one prize on one of your next three visits to Tony\'s=1-0.681=0.319