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Suppose events A and B are independent with P(A) = 0.4 and P(B) = 0.5. What is P(A and B)?

0.4

0.6

0.2

When two events are independent, the chance that both occur is the product of their individual probabilities. So P(A and B) = P(A) × P(B) = 0.4 × 0.5 = 0.2. That means the probability of both A and B happening is 0.2 (20%). The other numbers would come from adding or otherwise mixing the probabilities, but for independent events the joint probability is the product, not a sum.

0.1

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