Question

Events A and B are independent. The probability of A occurring is 2/5. The probability of B occurring is 1/4. What is P(Aand B)

Answer 1

1/10 is the probability of A and B.

Explanation:

Probability of independent events means probability of occuring of one event does not affect the probability of occuring of oth event.

Given that

P(A) = 2/5 and P(B) = 1/4

The formula to find probability of A and B for independent events is:

P(A and B) = P(A)×P(B)

Putting given values in above formula, we have

P(A and B) = 2/5× 1/4

P(A and B) = 2/20

P(A and B) = 1/10 which is the answer.

Answer 2

The value of P(A and B) is 1/10

Explanation:

In case of independent events, the probability of one event doesn't depend on the probability of other events.

Therefore, for an independent events

P(A and B) = P(A) × P(B)

P(A and B) = 2/5 × 1/4

P(A and B) =2/20

P(A and B) =1/10

Therefore, the value of P(A and B) is 1/10