Question

One number is to be chosen from numbers 1 to 100, the probability that it is divisible by 5 is......

• A. 33/100
• B. 7/100
• C. 1/5
• D. 43/100

Answer 1

The correct option is C 1/5

Given: Numbers from 1 to 100.

To find: the probability that it is divisible by 5

Sol: According to the question,

Sample space, $n\left(S\right)=100$

Let A: be the event of numbers divisible by 5 between 1 to 100

Then favorable outcomes of event A are {5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100},$n\left(A\right)=20$

Hence the probability of number divisible by 5 is $\frac{n\left(A\right)}{n\left(S\right)}=\frac{20}{100}=\frac{1}{5}$