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.

Step-by-step 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,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}\\\\0.55=\dfrac{P(A\mid B)}{0.4}\\\\0.55\times 0.4=P(A\cap B)\\\\0.22=P(A\cap B)$

Hence, the value of P(A∩B) = 0.22.

Answer 2

For Apex it is 0.22