If P(A) = 0.58, P(B) = 0.44, and P(A $\cap$ B) = 0.25, then P(A $\cup$B) =
A)1.02
B)0.77
C)0.11
D)0.39

Question

Quizplus · Accepted Answer

We know that:
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
Here, we are given P(A) = 0.58, P(B) = 0.44, and P(A ∩ B) = 0.25
So, we can find P(A ∪ B) as:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
= 0.58 + 0.44 - 0.25
= 0.77
Therefore, P(A ∪ B) = 0.77, which is the probability that either event A or event B occurs.

If P(A) = 0 ∩\cap∩ B) = 025, Then P(A ∪\cup∪ B) = A)1

If P(A) = 0 $\cap$ B) = 025, Then P(A $\cup$ B) =
A)1