Question

The probability that a customer selects a pizza with mushrooms or pepperoni is , and the probability that the customer selects only mushrooms is . If the probability that he or she selects only pepperoni is , find the probability of the customer selecting both items.

Answer 1

Answer:

The probability of the customer selecting both items is 0.04.

Step-by-step explanation:

The complete question is:

The probability that a customer selects a pizza with mushrooms or pepperoni is 0.45, and the probability that the customer selects only mushrooms is 0.32. If the probability that he or she selects only pepperoni is 0.17, find the probability of the customer selecting both items.

Solution:

The information provided is as follows:

P (M) = 0.32

P (P) = 0.17

P (M ∪ P) = 0.45

Compute the probability of the customer selecting both items as follows:

$P(M\cup P)=P(M)+P(P)-P(M\cap P)\\\\P(M\cap P)=P(M)+P(P)-P(M\cup P)\\\\=0.32+0.17-0.45\\\\=0.04$

Thus, the probability of the customer selecting both items is 0.04.