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Three identical dice are rolled once. Th...

Three identical dice are rolled once. The probability that the same number will appear on each of them, is (a) `1/6` (b) `1/36` (c) `1/18` (d) `3/28`

A

`(1)/(6)`

B

`(1)/(16)`

C

`(1)/(16)`

D

`(3)/(28)`

Text Solution

Verified by Experts

The correct Answer is:
B
Since three dice are rolled .
`therefore` Total number of cases `S=6xx6xx6 =216` and the same numbers appear on each of them `=""^6C_1=6`
`therefore` Required probability `=6/126=1/36`
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