Problem 116 of 7
Find the missing joint probability from conditional probability data P(A|B)=0.2x and P(B)=0.5.
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rearrange conditional formula.
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Use P(A and B)=P(A|B)P(B).
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Solution
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1. Write P(A|B)=P(A and B)/P(B).
2. Multiply both sides by P(B).
3. Compute the joint probability.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Multiplying by P(A) when the condition is B.