Question

Given P(A) = 0.25, P(B) = 0.40, P(A ∩ B) = 0.10. Find P(A ∪ B). A. 0.45 B. 0.55 C. 0.75 D. 0.65 Which of the following is true?

Answer 1

To find P(A ∪ B), use the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B), then substitute the given values to get the answer.

Step-by-step explanation:

To find P(A ∪ B), we can use the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B). Given that P(A) = 0.25, P(B) = 0.40, and P(A ∩ B) = 0.10, we can substitute these values into the formula.

P(A ∪ B) = 0.25 + 0.40 - 0.10 = 0.65.

Therefore, the correct option is D. 0.65.