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Given P(A) = 0.68, P(B) = 0.5 and P(A|B) = 0.91, find the value ofP(An B), rounding to the nearest thousandth, if necessary.
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Given P(A) = 0.68, P(B) = 0.5 and P(A|B) = 0.91, find the value ofP(An B), rounding to the nearest thousandth, if necessary.

Given P(A) = 0.68, P(B) = 0.5 and P(A|B) = 0.91, find the value ofP(An B), rounding-example-1
User Martin Shishkov
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1 Answer

6 votes

Remember that


P(A|B)=(P(A\cap B))/(P(B))

Thereby,


P(A\cap B)=P(A|B)\cdot P(B)

Using the data given,


P(A\cap B)=0.455

User Dinakar
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4.1k points
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