Let A and B be two independent events. If P(B) = 0.5, what can you say about P(B | A)? Cannot find it because P(A) is not known. Cannot find it because P(B and A) is not known. Cannot find it because both P(A) and P(B and A) are not known. It is equal to 0.5. It is equal to 0.25.
Question
Let A and B be two independent events. If P(B) = 0.5, what can you say about P(B | A)? Cannot find it because P(A) is not known. Cannot find it because P(B and A) is not known. Cannot find it because both P(A) and P(B and A) are not known. It is equal to 0.5. It is equal to 0.25.
Solution
The answer is "It is equal to 0.5". This is because A and B are independent events. The probability of event B occurring given that event A has occurred is the same as the probability of event B occurring. This is the definition of independent events. Therefore, P(B | A) = P(B) = 0.5.
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