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24-09-2020
Mathematics

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If P(B|A) = P(B), then events A and B are independent. True or false?

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MathPhys MathPhys

24-09-2020

Answer:

True

Step-by-step explanation:

Conditional probability is:

P(B|A) = P(B and A) / P(A)

If A and B are independent, then P(B and A) = P(B) × P(A).

P(B|A) = P(B) × P(A) / P(A)

P(B|A) = P(B)

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