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Two dice were rolled simultaneously. Fin...

Two dice were rolled simultaneously. Find the probability that the sum of the number on them was a two digits prime number .

A

`(1)/(9)`

B

`(1)/(18)`

C

`(1)/(12)`

D

`(1)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let the numbers on the dice be a and `b, a, ble6`. If a+b was a two digits prime numbre, it must be 11.
In this case, (a, b)=(5, 6) or (6, 5)
`:.` Required probability `=2((1)/(6))((1)/(6))=(1)/(18)`.
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