Question

Three different die are rolled __ probability that exactly to roll tthe same number.

Answer 1

Answer: Our required probability is
`(1)/(36)`

Explanation:

Since we have given that

Total number of outcomes in single die = 6

So, total number of outcomes if three different die =
`6^3=216`

Number of favourable outcome i.e. exactly roll the same number = (1,1,1), (2,2,2) (3,3,3) (4,4,4) (5,5,5), (6,6,6) = 6

So, Probability of getting exactly roll the same number is given by

`\frac{\text{number of favourable outcome}}{\text{Number of total outcomes}}\\\\=(6)/(216)\\\\=(1)/(36)`

Hence, our required probability is
`(1)/(36)`