Question

Suppose that A and B are independent events such that P (A) - 0.10 and P (B) - 0.60.

Find P(A n B) and P (A U B).

Answer 1

Explanation:

Since A and B are independent events, we can use the formula:

P(A ∩ B) = P(A) x P(B)

P(A ∩ B) = 0.10 x 0.60

P(A ∩ B) = 0.06

So the probability of both events A and B occurring is 0.06.

To find P(A U B), we can use the formula:

P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A U B) = 0.10 + 0.60 - 0.06

P(A U B) = 0.64

Therefore, the probability of either A or B occurring (or both) is 0.64.