In two dice game, the player take turns to roll both dice, they can roll as many times as they want in one turn. A player scores the sum of the two dice thrown and gradually reaches a higher score as they continue to roll. If a single number 1 is thrown on either die, the score for that whole turn is lost. Two dice are thrown simultaneously.

What is the probability of getting the sum of atleast 10?

Options

A. `(5)/(12)`
B. `(5)/(6)`
C. `(1)/(6)`
D. `(7)/(12)`

Answer

C

Explanation

Favourable outcomes are `{(5,5),(6,4),(4,6),(6,5),(5,6),(6,6)}`
Thus number of favourable outcomes,
`n(E_(3))=6`
P(sum of atleast 10),
`P(E_(3))=(n(E_(3)))/(n(S))=(6)/(36)=(1)/(6))`
Thus ( c ) is correct option.