Here, total number of outcomes ` = 6^2 = 36`
(i) When sum is an even number, then possible outcomes `=`
`{(1,1),(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(4,6)`
`,(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)}`
So, total number of possible outcomes ` = 18`
`:.` Probability in this case ` = 18/36 = 1/2`
(ii)When sum is divisible by `4`, then possible outcomes `=`
`{(1,3),(2,2),(2,6),(3,1),(3,5),(4,4),(5,3),(6,2),(6,6)}`
So, total number of possible outcomes ` = 9`
`:.` Probability in this case ` = 9/36 = 1/4`
(iii)When sum is divisible by `3` and `4`, then possible outcomes `=`
`{(6,6)}`
So, total number of possible outcomes ` = 1`
`:.` Probability in this case ` = 1/36`
