Question

A department store's survey suggests that 76% of shoppers buy food, 49% buy clothes, and 28% buy both food and

clothes Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the
probability that the shopper also buys food?
027
0.39
0.57
0.64

Answer 1

.57

guy above me is right

Explanation:

Answer 2

0.57

Explanation:

Given that:

food = f ; c = clothes

P(f) = 0.76

P(C) = 0.49

P(fnC) = 0.28

Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the probability that the shopper also buys food?

P(f Given C) = P(f | C)

P(f | c) = p(fnC) / p(C)

P(f | c) = 0.28 / 0.49

P(f | c) = 0.5714

P(f | c) = 0.57