Question

Probability of getting a multiple of $3$ with a single throw of dice.

• A. $\frac{1}{6}$
• B. $\frac{1}{2}$
• C. $\frac{1}{3}$
• D. $1$

Answer 1

The correct option is C $\frac{1}{3}$

Given:

Die is thrown.

To find:

The probability of getting a multiple of $3$

Total number of ways = $1,2,3,4,5,6=6$ ways

Out of these ways, multiple of 3 is $3,6$

Hence the number of favourable ways = $2$

We know,

$P\left(\text{getting a multiple of 3}\right)=\frac{\text{No. of favourable ways}}{\text{Total no. of ways}}=\frac{2}{6}=\frac{1}{3}$