Answer:
(b) 11/15
Explanation:
We can use the formula:
P(A U B) = P(A) + P(B) - P(A n B)
where P(A n B) is the probability of the intersection of events A and B.
We are given:
P(A) = 2/3
P(B) = 4/5
P(A U B) = 11/15
Substituting these values into the formula, we get:
11/15 = 2/3 + 4/5 - P(A n B)
To solve for P(A n B), we can simplify the right-hand side:
11/15 = 10/15 + 12/15 - P(A n B)
11/15 = 22/15 - P(A n B)
P(A n B) = 22/15 - 11/15
P(A n B) = 11/15
Therefore, the answer is (b) 11/15.