Question

Suppose A and B are dependent events. If P(A | B)=0.55 and P(B)=0.4, what is P(AnB)?

Answer 1

Answer: The value of P(A∩B) = 0.22.

Explanation:

Since we have given that

P(A | B)=0.55

P(B)=0.4

and A and B are dependent events.

And we know the rule for "Conditional probability":

So,

`P(A\mid B)=(P(A\cap B))/(P(B))\\\\0.55=(P(A\mid B))/(0.4)\\\\0.55* 0.4=P(A\cap B)\\\\0.22=P(A\cap B)`

Hence, the value of P(A∩B) = 0.22.