Math

QuestionWhat is the probability that a shopper buys both shoes and a book if P(shoes) = 0.20 and P(book) = 0.10?

Studdy Solution

STEP 1

Assumptions1. The event of buying shoes and the event of buying a book are independent. . The probability of buying shoes is0.20.
3. The probability of buying a book is0.10.

STEP 2

For independent events, the probability of both events occurring is the product of their individual probabilities. We can represent this mathematically as(AandB)=(A)×(B)(A \, and \, B) =(A) \times(B)

STEP 3

Now, plug in the given values for the probabilities of buying shoes (A) and buying a book (B) to calculate the probability of both events occurring.
(AandB)=0.20×0.10(A \, and \, B) =0.20 \times0.10

STEP 4

Calculate the probability.
(AandB)=0.20×0.10=0.02(A \, and \, B) =0.20 \times0.10 =0.02So, the probability that a shopper buys shoes and a book is0.02.

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