Question

A dice is rolled $600$ times and the occurrence of the outcomes $1,2,3,4,5$ and $6$ are given below:

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 200& 30& 120& 100& 50& 100\end{array}$

The probability of getting a prime number is ?

Answer 1

Total number of times a dice is rolled $\left(n\right)=600$

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 200& 30& 120& 100& 50& 100\end{array}$

Now, prime numbers are $2,3$ and $5$,

Therefore, favorable outcome $=30+120+50=200$

$\therefore$ Probability of getting a prime number $=\frac{\text{No. of favorable outcomes}}{\text{Total no. of outcomes}}$

$=\frac{200}{600}$

$=\frac{1}{3}$