# Given the probability p=0.36 that an event will happen, how do you find the probability that the event will not happen?

Oct 2, 2017

"Probability"(!p)=0.64

#### Explanation:

An event must either occur or not occur. That is either $p$ or not $p$ is certain.

The probability of certainty is 100%=1

If $\text{Probability} \left(p\right) = 0.36$
then
$\textcolor{w h i t e}{\text{XXX")"Probability"(p)+"Probability"(!p)=1color(white)("xxxx}}$ where !p is used to denote "not "$p$

color(white)("XXX")0.36+"Probability"(!p)=1

color(white)("XXX")"Probability"(!p)=1-0.36=0.64