Question

A die was rolled $100$ times and the number of times, $6$ came up was noted. If the experimental probability calculated from this information is $\frac{2}{5}$, then how many times $6$ came up? Justify your answer.

Answer 1

Here, total number of trials $=100$

Let $x$ be the number of times occurring $6$.

Probability of the number of times occurring $6=\frac{2}{5}$

We know,

$\text{Probability of an event}=\frac{\text{Frequency of the event occurring}}{\text{Total number of trials}}$

$\Rightarrow \frac{2}{5}=\frac{x}{100}$

$\Rightarrow \frac{2}{5}\times 100=x$

$\Rightarrow 40=x$

Hence, $6$ occurred $40$ times in the experiment.