Question

If P(A) = .58, P(B) = .44, and P(A ∩ B) = .25, then P(A ∪ B) =

Group of answer choices
a. 1.02
b. 77
c. 23
d. 39

Answer 1

To find P(A ∪ B), use the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B). Plugging in the given values: P(A ∪ B) = .58 + .44 - .25 = .77.

Step-by-step explanation:

To find the probability of the union of two events A and B (denoted as A ∪ B), we use the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

In this case, P(A) = .58, P(B) = .44, and P(A ∩ B) = .25. Plugging these values into the formula:

P(A ∪ B) = .58 + .44 - .25 = .77

Therefore, the answer is a. 77.