A and B are mutually exclusive events with P(B) = 0.25 and P() = 0.4
Determine:
3.2 P()
To determine P(A'), we first need to understand that A' (complement of A) is the event that includes all outcomes that are not in event A. Since A and B are mutually exclusive events, A' will include all outcomes that are not in A.
Since A and B are mutually exclusive, we know that P(A ∪ B) = P(A) + P(B).
Given that P(A) = 0.4 and P(B) = 0.25,
P(A ∪ B) = P(A) + P(B)
P(A') = 1 - P(A)
P(A') = 1 - 0.4
P(A') = 0.6
Therefore, P(A') = 0.6.