1. ## P[(a∩bc)u(ac∩b)]=p(a)+p(b) – 2p(a∩b).

show that :P[(A∩B^C)U(A^C∩B)]=P(A)+P(B) – 2P(A∩B).[/font]

2. Recall that $P(M) = P(MN) + P(MN^c )$.
$\begin{array}{rcl}
P(AB^c \cup A^c B) & = & P(AB^c ) + P(A^c B),\quad (AB^c \cap A^c B = \emptyset ) \\
& = & P(A) - P(AB) + P(B) - P(AB) \\
& = & P(A) + P(B) - 2P(AB) \\
\end{array}$

3. thanks alot plato

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### Prove p(a) p(b) - 2p(ab)

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