Problem 30 of 7
Compute conditional probability from probabilities: P(Y and Z)=a/4, P(Z)=a/2.
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use P(A|B)=P(A and B)/P(B).
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Use P(A|B)=P(A and B)/P(B), with P(B) nonzero.
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Solution
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1. Identify target event and condition.
2. Write P(target | condition)=P(target and condition)/P(condition).
3. Substitute and simplify.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Dividing by P(A) when computing P(A|B).