여집합의_확률_증명

여집합의_확률_증명 (rev. 1.1)

Theorem ¶

For any event $\displaystyle A$ ,

$\displaystyle P(A^c)=1-P(A)$

Proof ¶

$\displaystyle 1 = P(S)$ (by axiom of probability)

$\displaystyle =P(A\cup A^c)$
$\displaystyle P(A)+P(A^c)$

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