If two events A and B are independent with P(A)=0.4 and P(B)=0.5, what is P(A and B)?

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Multiple Choice

If two events A and B are independent with P(A)=0.4 and P(B)=0.5, what is P(A and B)?

Explanation:
Independent events: the probability that both occur is the product of their individual probabilities. Here P(A)=0.4 and P(B)=0.5, so P(A and B)=0.4×0.5=0.2. Therefore, the chance that both A and B happen is 0.2. If the events weren’t independent, you would use P(A∩B)=P(A)P(B|A) instead.

Independent events: the probability that both occur is the product of their individual probabilities. Here P(A)=0.4 and P(B)=0.5, so P(A and B)=0.4×0.5=0.2. Therefore, the chance that both A and B happen is 0.2. If the events weren’t independent, you would use P(A∩B)=P(A)P(B|A) instead.

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