It can be shown that for any three events (A, B), and (C), the probability that at

Question:

It can be shown that for any three events $A, B$, and $C$, the probability that at least one of them will occur is given by
\[\begin{aligned}
P(A \cup B \cup C)= & P(A)+P(B)+P(C) \\
& -P(A \cap B)-P(A \cap C) \\
& -P(B \cap C)+P(A \cap B \cap C)
\end{aligned}\]
Verify that this formula holds for the probabilities of Figure 3.13.

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