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)

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

Step-by-step 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

1/10 is the probability of A and B.

Step-by-step 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.