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Basic Statistics for Business and Economics | 7th Edition | ISBN: 9780077384470 | Authors: Douglas Lind; William Marchal; Samuel Wathen
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With each purchase of a large pizza at Tony’s Pizza, the

Chapter 5, Problem 65E

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QUESTION:

Problem 65E

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?

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QUESTION:

Problem 65E

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?

ANSWER:

Solution 65E

Step1 of 5:

From the given problem we have 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.

Here our goal is:

a). We need to find the probability that you will win either a large pizza or a soft drink.

b). We need to find the probability that you will not win a prize.

c). We need to find the probability that you will not win a prize on three consecutive visits to Tony's.

d). We need to find the probability that you will win at least one prize on one of your next three visits to Tony’s.

Step2 of 5:

a).

Let us define an event are:

A = The odds of winning a free soft drink.

B = The odds of winning a free large pizza.

Now, The probability that you will win either a large pizza or a soft drink is:

                   

               

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