Question

At the mall, buying a pair of shoes and buying a book are independent events.The probability that a shopper buys shoes is 0.20. The probability that a shopper buys a book is 0.10.What is the probability that a shopper buys shoes and a book? Please help.

Answer 1

Answer: Probability that a shopper buys shoes and a book is 0.02.

Step-by-step explanation:

Since we have given that

Event A : Buying a pair of shoes

Event B:  Buying a book

Since A and B are independent events.

Probability that a shopper buys shoes i.e.

P(A) = 0.20

Probability that a shopper buys a book i.e.

P(B)=0.10

So, we need to find the probability that a shopper buys shoes and a book is given by

$P(A\ and\ B)=P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=0.20\times 0.10\\\\P(A\cap B)=0.02$

Hence, Probability that a shopper buys shoes and a book is 0.02.