Question

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.

Answer 1

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`