A die is thrown. Find the probability of getting a prime number.

Given:

A die is thrown.

To do:

We have to find the probability of getting a prime number.

Solution:

When a die is thrown, the total possible outcomes are 1, 2, 3, 4, 5 and 6.

This implies,

The total number of possible outcomes $n=6$.

Prime numbers between 1 and 6 (including 1 and 6) are 2, 3 and 5. 

Total number of favourable outcomes $=3$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability of getting a prime number $=\frac{3}{6}$

$=\frac{1}{2}$

The probability of getting a prime number is $\frac{1}{2}$. 

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Updated on: 10-Oct-2022

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