P(B) such that a and b are mutually exclusive is 0.23
A group of potential results from a specific experiment is an event. Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot obtain both outcomes. Since they do not occur at the same time, such occurrences are also known as disjunct events.
Given: P(A) =0.28
P(AUB) = 0.51
We know,
P(AUB) = P(A) + P(B) - P(A∩B)
Since A and B are mutually exclusive events, they cannot happen together.
So, P(A∩B) = 0
Then,
P(AUB) = P(A) + P(B)
0.51 = 0.28+ P(B)
P(B) = 0.51 - 0.28 = 0.23.
Hence, P(B) = 0.23
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