Problem 2E

Let A and B be events with P(A) = 0.5 and P(A n Bc) = 0.4. For what value of P(B) will Aand B be independent?

Solution :

Step 1 of 1:

Let A and B be the two events.

The probability of A is

P(A)=0.5 and

=0.4

Our goal is :

We need to find the probability the value of P(B).

Now we have to find the value of P(B).

Here A and B be the two independent events.

The formula of the .

Then,

We know that P(A)=0.5 and =0.4.

Now,

Therefore the value of P(B) is 0.2.