Question

question 2 of 10
at the mall, buying a pair of shoes and buying a book are independent events.
the probability that a shopper buys shoes is 0.12. the probability that a shopper buys a book is 0.10.
what is the probability that a shopper buys shoes and a book?
a. 0.22
b. 0.12
c. 0.012
d. 0.02

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: Substitute the given probabilities

Let \(A\) be the event of buying shoes (\(P(A) = 0.12\)) and \(B\) be the event of buying a book (\(P(B)=0.10\)). Then \(P(A\cap B)=0.12\times0.10\)

Step3: Calculate the product

\(0.12\times0.10 = 0.012\)

Answer:

C. 0.012