A marketing firm tracks data on grocery store visits

Question

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

O.

A. the probability of buying bread and cheese is 0

B. the probability of buying bread or cheese is 0.80

C. the probability of buying bread and cheese is 0.12

D. the probability of buying bread or cheese is 0.12

Answer 1

two events A and B are independent if P(A and B) = P(A) * P(B).

so A and B are independent if the probability of buying bread and cheese is 0.6 * 0.2 = 0.12 (C)