Question

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

Options

• `1/2`

• `1/3`

• `1/6`

• `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) =`("Number of favourable outcomes")/"Number of all possible outcomes"`

=`6/36 = 1/6`

Thus, the probability of getting the same number on both dice is `1/6`.

Hence, the correct answer is option `1/6`.