A and B are mutually exclusive events with P(B) = 0.25 and P() = 0.4

Question

A and B are mutually exclusive events with P(B) = 0.25 and P() = 0.4

Determine:

P()

Answer 1

Since events A and B are mutually exclusive, their intersection is empty, meaning that P(A and B) = 0. Therefore, P(A or B) = P(A) + P(B).

Now, we know that P(B) = 0.25 and P(A or B) = 0.4. Using these values, we can calculate P(A):

P(A) = P(A or B) - P(B)
P(A) = 0.4 - 0.25
P(A) = 0.15

Therefore, P(A) = 0.15.