Question

Events A and B are independent. Find the indicated probability. Show your work!

a. P(A) = 0.3, P(B) = 0.5, P(A and B) = ?


b. P(A) = ?, P(B) = 0.9, P(A and B) = 0.45

Answer 1

A property of independent events is that the probability of both occurring is the product of their probabilities. This is written as the formula:
\[\large P(A \cap B)=P(A) \times P(B)\]
when A and B are independent.