Question

The rule of complements states that P(A^c) = ____?

Answer 1

The rule of complements states that the sum of the probabilities of an event and its complement must equal 1. For example, for event A:

$P(A)+P(A^c)=1$

Solving for P(A^c), we get:

$P(A^c)=1-P\mleft(A\mright)$