Event a has probability 0.4. event b has probability 0.5. if a and b are independent, what is the probability
that both events occur?

The probability that both events occur

P(A n B) = 0.2

Explanation:

Independent events :-

two events are independent If the incidence of one event does not affect the probability of the other event.

The condition of independent events

P(A n B) = P(A) P(B)

Dependent events

If the incidence of one event does affect the probability of the other event.

Given data P(A) = 0.4 and P(B) = 0.5

The probability that both events occur

P(A n B) = 0.4 X 0.5 = 0.2