Let S be a sample space, with A is a subset S and B is a subset S. If P(A) = .6 what can be said about, P(A ∩ B),
when
(a) A and B are mutully exclusive?
(b) A is a subset B
(c) B is a subset A
(d) A′ is a subset B′
(e) A is a subset B′
Not entirely sure how to approach this problem...let me know if the first is on the right track.
a) If A and B are mutually exclusive, P(A ∩ B)= P(A)P(B)
Ok, I have all but the last.
If A' is subset of B', then B is subset of A, so P(A ∩ B) = P(B).
However, I still have not found any rules on the final question, A is subset of B'.
Oh thanks. I haven't seen that one before. I'm looking for the proof online. It's not listed in my textbook.
I can see that easily from a diagram, but I'm trying to find a list of important set theory laws and indentities.