Problem 4 of 7
Compute joint probability using P(A and B)=P(A)P(B|A) from P(A)=p and P(B|A)=q.
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multiply marginal and conditional probability.
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Multiply the marginal probability of A by the conditional probability of B given A.
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Solution
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1. Identify P(A).
2. Identify P(B|A).
3. Multiply to find P(A and B).
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Adding marginal and conditional probabilities.