Question

A box has tokens numbered $3$ to $100$. If a token is taken out at random the chance that the number is divisible by $7$ is

• A. $\frac{1}{4}$
• B. $\frac{1}{5}$
• C. $\frac{1}{6}$
• D. $\frac{1}{7}$

Answer 1

Answer: (D)

$\frac{1}{7}$

The tokens are numbered from $3$ to $100$

There are $98$ numbers from $3$ to $100$

In this range the numbers divisible by $7$ are $7,14,21,28,35,42,49,56,63,70,77,84,91$ and $98$

The number of numbers divisible by $7$ is $14$

$P$(number divisible by $7$)$=\frac{14}{98}=\frac{1}{7}$

Hence, the required probability is $\frac{1}{7}$