Question

question 21 of 25
a marketing firm tracks data on grocery store visits. in one study, it finds that the probability that a shopper buys bread during a visit to the grocery store is 0.60, and the probability that a shopper buys cheese is 0.20.
event ( a = ) a shopper buys bread.
event ( b = ) a shopper buys cheese.
( a ) and ( b ) are independent events if

a. the probability of buying bread or cheese is 0.80
b. the probability of buying bread and cheese is 0.12
c. the probability of buying bread and cheese is 0
d. the probability of buying bread or cheese is 0.12

Explanation:

Step1: Recall the formula for independent events

For two independent events \(A\) and \(B\), \(P(A\cap B)=P(A)\times P(B)\)

Step2: Calculate \(P(A)\times P(B)\)

Given \(P(A) = 0.60\) and \(P(B)=0.20\), then \(P(A)\times P(B)=0.60\times0.20 = 0.12\)

Answer:

B. the probability of buying bread and cheese is 0.12