DICE

Half (or 18) of the combinations are odd. And only one additional combination (a pair of ones) will give an even number.

Therefore the number of ways will be $18+1 = \boxed{19}$

And 19 and 36 are coprime.

the sums less than 4 are 2,3and3

and the odd no.s are coming

4 times 5, 6 times 7, 4 times 9. and 2 times 11, therefore total no. of favourable outcomes are coming to be 19 and the fraction formed is19/36

therefore the numerator is '19'

Possible combination are
(a) sum less than 4=(1,1),(2,1),(1,2) ------->3
(b) sum is odd -----> if one of the face show odd ----> combination of 1 3 5 of first dice to 2 4 6 of second dice.----->9 combination (covers (1,2) case of (a) ) and combination of 2 4 6 of first dice to 1 3 5 of second dice.--->9 combination (covers (2,1) case of (a) )------>total 18.
So favorable outcome is 3+(18-2)=19 P(required)=19/36 & answer=19