Question

The probability that it will rain on a particular day is $0.64$ what is the probability that it will not rain on that day?

Answer 1

Let $A$ denote the event that it will rain on a particular day and $\overline{A}$ denote the event that it will not rain on a particular day.

It is given that $P\left(A\right)=0.64$.

We know that $P\left(A\right)+P\left(\overline{A}\right)=1$, therefore,

$P\left(A\right)+P\left(\overline{A}\right)=1\Rightarrow 0.64+P\left(\overline{A}\right)=1\Rightarrow P\left(\overline{A}\right)=1-0.64=0.36$

Hence, the probability that it will not rain on that particular day is $0.36$.