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An integer is chosen between $70$ and $100$. Find the probability that it is divisible by $7$.
Given: An integer is chosen between $70$ and $100$.
To do: To find the probability that it is divisible by $7$.
Solution:
Let the event of choosing a number which divisible by $7$ be $“E”$.
Numbers between $70$ & $100$ which are divisible by $7$ are as follows: $[77,\ 84,\ 91,\ 98]$
So, total no. of favourable outcomes$=4$
Total no. of possible outcomes$=29$
$\Rightarrow$ Probability of getting a number which is divisible by $7$,
$P( E)=\frac{Total\ number\ of favourable\ outcomes}{Total\ no.\ of\ possible\ outcomes}=\frac{4}{29}$
Thus, probability of chosen number to be divisible by $7$ is $\frac{4}{29}$.
Updated on: 10-Oct-2022
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