Question

One integer is chosen put of $1,2,3,$ ....... $100$. What is the probability that it is neither divisible by $4$ nor by $6$?

• A. $0.59$
• B. $0.67$
• C. $0.41$
• D. $0.33$

Answer 1

The correct option is B $0.67$

We take numbers from 1 to 50
Numbers divisible by 4 = 25
Numbers divisible by 6 = 16
Numbers divisible by 12 = 8
Numbers divisible by 4 or 6 =25+16-8=33
Numbers not divisible by 4 or 6=100-33=67
So, required probability =$\frac{67}{100}=0.67$