Example Derivation

Example Derivation

$\begin{displaymath} \Pr(A)+\Pr(\overline{A}) = 1\end{displaymath}$

Proof:

$\Pr(A+\overline{A}) = \Pr(A) + \Pr(\overline{A}) - \Pr(A\overline{A})$
implies $\Pr(T) = \Pr(A) + \Pr(\overline{A}) - \Pr(F)$
implies $1 = \Pr(A) + \Pr(\overline{A})$

Next: Joint Probability Distributions Up: DEFINITIONS Previous: Axioms of Probability