Two dice are rolled. Find the probability that the sum of their upper faces is (i) an Even number (ii) Divisible by 4 (iii) Divisible by 3 and 4

Explanation

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 `=`

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