Problem 34 of 7
Find missing intersection probability from addition-rule data P(X)=a, P(Y)=b, P(X or Y)=c.
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rearrange formula.
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Rearrange P(A or B)=P(A)+P(B)-P(A and B).
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Solution
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1. Write the addition rule.
2. Substitute known union and marginal probabilities.
3. Solve for P(A and B).
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Negative intersections unless data is identified as inconsistent.