If two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers on the dice is 8 ?

Options

A. `(1)/(3)`
B. `(1)/(4)`
C. `(1)/(5)`
D. `(1)/(6)`

Answer

C

Explanation

Total number of case that sum is 8 are .
(2,6),(3,5),(4,4),(5,3),(6,2).
favourable case = (6,2)
`therefore` Probability =`(1)/(5)`