Question

Three dice are thrown together, the probability of getting the same number on all the dice is __________.

Answer 1

Total number of outcomes = 6 × 6 × 6 = 216

Let E be the event of getting the same number on all the three dice. The outcomes favourable to the event E are (1, 1, 1), (2, 2, 2), (3, 3, 3), (4, 4, 4), (5, 5, 5) and (6, 6, 6).

Favourable number of outcomes = 6

∴ Probability of getting the same number on all the dice = $\frac{\mathrm{Favourable}\mathrm{number}\mathrm{of}\mathrm{outcomes}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{outcomes}}=\frac{6}{216}=\frac{1}{36}$

Three dice are thrown together, the probability of getting the same number on all the dice is $\underline{\frac{1}{36}}$.