Probability that none of the three events \( (A, B, C) \) occurs
(a)
\[
\begin{array}{l}
P(\bar{...
Probability that none of the three events \( (A, B, C) \) occurs
(a)
\[
\begin{array}{l}
P(\bar{A} \cup \bar{B} \cup \bar{C})-P(A)-P(B)-P(C)+P(A \cap B)+ \\
P(B \cap C)+P(C \cap A)
\end{array}
\]
(b)
\[
\begin{array}{l}
P(A \cup B \cup C)-P(A)-P(B)-P(C)+P(A \cap B)+P \\
(B \cap C)+P(C \cap A)-P(A \cap B \cap C)
\end{array}
\]
(c)
\[
\begin{array}{l}
P(\bar{A})+P(B)+P(C)-P(A \cap B)-P(B \cap C)- \\
P(C \cap A)+P(A \cap B \cap C)
\end{array}
\]
(d) None of these
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