1. ## events

10. suppose that P(A)=p1 ,P(B)= p2 , P(C)=p3 .write down the probability that at least one of the three events A,B or C will occur .
i.P(A^cUB^c)=
ii.P(A^cB)=
iii.P(A^cUB)=
iv.P(A^cB^c)=

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11.give that : P(A)=P(B)=P(C)=1/4,P(AB)=P(CB)=0 and P(AC)=1/8 ,compute the probability that at least one of the three events A,B or C will occur .

2. $\begin{array}{rcl}
P(A^c \cup B^c ) & = & 1 - P(A \cap B) \\
P(A^c \cap B) & = & P(B) - P(A \cap B) \\
P(A^c \cup B) & = & 1 - P(A \cap B^c ) \\
P(A^c \cap B^c ) & = & 1 - P(A \cup B) \\
\end{array}
$