Question

Two events, A and B, are independent. If P(A) = 0. 3 and P(B) = 0. 2, what is P(A and B)?.

Answer 1

The value of P(A and B) is 0.06.

Given

Two events, A and B, are independent.

If P(A) = 0. 3 and P(B) = 0. 2.

What is the condition when two events are independent?

Independent events. In probability, two events are independent if the incidence of one event does not affect the probability of the other event.

The condition for independent events is;

P(A ∩ B) = P(A)P(B)

Therefore,

The value of  P(A ∩ B) is;

P(A ∩ B) = P(A)P(B)

P(A ∩ B) = (0.3)(0.2)

P(A ∩ B) = 0.06

Hence, the value of P(A and B) is 0.06.

To know about Independent events click the link given below.

https://brainly.com/question/3932712