# Given the probability p=1/3 that an event will happen, how do you find the probability that the event will not happen?

May 17, 2017

The probability that the event will not happen is $\frac{2}{3}$ or 66 2/3% likelihood.

#### Explanation:

A probability is a fraction between $0$ and $1$, which indicates possibility of happening of an event. A probability of $1$ means 100% likelihood of happening of that event and this means, it is certain to happen.

A probability of $p = \frac{1}{3}$ means $\frac{1}{3}$

or 1/3xx100=33 1/3% likelihood of an event to happen.

We know that it is certain that either an event will happen or it will not happen.

Hence probability of happening of an event plus probability of not happening of an event add up to $1$.

Hence, the probability that the event will not happen is $1 - \frac{1}{3} = \frac{2}{3}$ or 66 2/3% likelihood.