Are P(AB) and P(A∩B) the same thing?
Doing probability homework and I am stuck on this question:
Let A and B be events such that:
P(A) = 0.6
P(B) = 0.4
P(AB) = 0.2
Find the probabilities of:
a.) A∪B
and thats where I'm stuck haha
I know
P(A∪B) = P(A) + P(B) - P(A∩B) and
P(A∩B) = P(A∣B)*P(B)
Also, is P(AB) suggesting one happening after the other or at the same time?
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Verified answer
The answer to your question is yes. P(AB) is another way of writing "A and B", or "A intersect B".
Time doesn't come into it (unless your events have time in their definition). AB means that whatever event was defined as A, and whatever event was defined as B, they both occurred.