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A die is thrown. Find the probability of

Question:

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

Solution:

We know that,

Probability of occurrence of an event

$=\frac{\text { Total no.of Desired outcomes }}{\text { Total no.of outcomes }}$

As $2,3,5$ are prime numbers up to 6 , so the desired outcomes are $2,3,5$, and total outcomes are $1,2,3,4,5,6$

Therefore, total no. of outcomes are 6 , and total no. of desired outcomes are 3

Probability of getting a prime number

$=\frac{3}{6}$

$=\frac{1}{2}$

Conclusion: Probability of getting a prime number when a die is thrown is $\frac{1}{2}$