Question

Suppose that E and F are two events and that Upper P left parenthesis Upper E and Upper F right parenthesisequals0.1 and Upper P left parenthesis Upper E right parenthesisequals0.2. What is Upper P left parenthesis F|E right parenthesis​?

Answer 1

P(F/E) = 0.5

Explanation:

We have the following information:

P(E∩F)=0.1

P(E)=0.2

Additionally, the probability P(A/B) of event A given Event B is calculated as:

P(A/B) = P(A∩B)/P(B)

Now, we want the probability P(F/E), so it is calculated as:

P(F/E) = P(E∩F)/P(E)

Finally, replacing the values we get:

P(F/E) = 0.1 / 0.2

P(F/E) = 0.5