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 $\frac{1}{2}$
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