Question

Two dice are thrown together. The probability of getting the same number on the both dice is

Options

• ${\displaystyle \frac{1}{2}}$

• ${\displaystyle \frac{1}{3}}$

• ${\displaystyle \frac{1}{6}}$

• ${\displaystyle \frac{1}{12}}$

Answer 1

Total number of outcomes = 36.

Getting the same number on both the dice means (1, 1), (2, 2), (3, 3), (4, 4), (5, 5) and (6, 6).

Numbers of favourable outcomes = 6.

∴ P(getting the same number on both dice) =${\displaystyle \frac{\text{Number of favourable outcomes}}{\text{Number of all possible outcomes}}}$

=${\displaystyle \frac{6}{36}=\frac{1}{6}}$

Thus, the probability of getting the same number on both dice is ${\displaystyle \frac{1}{6}}$.

Hence, the correct answer is option ${\displaystyle \frac{1}{6}}$.