Question

If P(A) = 0.5, P(B) = 0.4, and P(A or B) = 0.8, find P(A and B).

Answer 1

P(A and B)=0.2

Explanation:

P(A or B) represents mutually exclusive events, which mean they cannot occur at the same time. For example, you can't turn your head left and right at the same time. Their probabilities would be added as a result.

P(A and B) represents events that do occur at the same time, so the probabilities are multiplied. P(A and B)=P(A)*P(B)=0.5*0.4=0.2 or 20%