Can anyone give me some basis for these formulas or how you remember them? Thanks!

P(A \(B ∪ C)= P(A) − P(A ∩ B) − P(A ∩ C) + P(A ∩ B ∩ C)

For the first one, I thought that it was a (|) sign which means given but it really is (\) ( I just edited the problem where it says: P(A \(B ∪ C)... Can someone tell me if that means anything different than the (\) given sign? I think that is part of my problem... When I work it out I get the probability of A but not B U C....

P(A∪ B |C) = P(A|C) + P (B|C) - P(A∩ B |C)

P(A \(B ∪ C)= P(A) − P(A ∩ B) − P(A ∩ C) + P(A ∩ B ∩ C)

For the first one, I thought that it was a (|) sign which means given but it really is (\) ( I just edited the problem where it says: P(A \(B ∪ C)... Can someone tell me if that means anything different than the (\) given sign? I think that is part of my problem... When I work it out I get the probability of A but not B U C....

P(A∪ B |C) = P(A|C) + P (B|C) - P(A∩ B |C)

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