An integer is chosen between $70$ and $100$. Find the probability that it is a prime number.

Given: An integer is chosen between $70$ and $100$.

To do: To find the probability that it is a prime number.

Solution:

Let the event of choosing a number which is a prime number be “$E$”.

Prime numbers between $70$ & $100$ are as follows: $[71,\ 73,\ 79,\ 83,\ 89,\ 97]$

So, total no. of favourable outcomes$=6$

Total number of possible outcomes$=29$

$\therefore$ Probability of getting a prime number, $P( E)=\frac{Total\ no.\ of\ favorable\ outcomes}{Total\ no.\ of\ possible\ outcomes}=\frac{6}{29}$

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Updated on: 10-Oct-2022

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