Question

If you roll a dice six times, what is the probability of rolling a number six?

Answer 1

Calculating the required probability:

Given, a dice is rolled six times

We know that

$\mathrm{P}\left(\mathrm{E}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{outcomes}}$

On rolling a dice six times total number of outcomes$=6\times 6=36$

When a dice is rolled six times, the probability of getting a six is six times.

Therefore, we can write

$\begin{array}{rcl}\mathrm{P}(\mathrm{rolling}\mathrm{a}\mathrm{number}\mathrm{six})& =& \frac{6}{36}\\ & =& \frac{1}{6}\end{array}$

Hence, the probability of getting a six after rolling a dice six times will be $\frac{1}{6}$.