Question

An integer is chosen at random between 1 and 100. Find the probability that it is :
(i) divisible by 8.
(ii) not divisible by 8.

Answer 1

The highest number between $1$ and $100$ that is divisible by $8$ is $96$

Consider $\frac{96}{8}=12$

So there are $12$ such numbers that are divisible by $8$

Total no. of numbers $98$

So the probability of number to be divisible by $8$ is $\frac{12}{98}=\frac{6}{49}$

The no. of numbers that are not divisible by $8=98-12=86$

The probability is Given as $\frac{86}{98}=\frac{43}{49}$