Question

Question: What is the probability that a fair die comes up six when it is rolled?

Short answer

Answer

The probability that a fire die come up six it is rolled is$p\left(E\right)=\frac{1}{6}$

Step-by-step solution

Given.

Find that the probability that a fire die come up six when it is rolled.

Calculation.

As par the problem a fair die rolled.

If S represents the sample space and E represents the event. Then the probability of occurrence of favorable event is given by the formula as below:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

Here we are rolling a fair die and as we know a die has six faces so we have$n\left(E\right)=6$

As there one face labelled $6$so we have$n\left(E\right)=1$

Now substitute the values in the above formula we get

$p\left(E\right)=\frac{1}{6}$