Question

One number is to be chosen from Numbers 1 to 100, the probability that it is divisible by 3 or 7 is......

• A. $\frac{33}{100}$
• B. $\frac{7}{100}$
• C. $\frac{4}{100}$
• D. $\frac{43}{100}$

Answer 1

Answer: (D)

$\frac{43}{100}$

From 1 to 100, the number of multiples of $3$ is $33$ number of multiples of $7$ is $14.$

The number of multiples of $3$ and $7$ is $4.$

So,number of numbers divisible divisible by $3$ or $7$

$=33+14-4$

$=43$

Probability

=$\frac{43}{100}$