Question

One integer is chosen out 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 $0.67$

From $1-100$,
Numbers which are divisible by $4=25$
Numbers which are divisible by $6=16$
Numbers which are divisible by $12=8$
Numbers divisible by $4$ or $6$ $=$ $25+16-8=33$
Thus, numbers which are not divisible by $4$ or $6=100-33=67$
Required probability $=\frac{67}{100}=0.67$
Hence, option $B$ is correct.