if he gets 1 on first die, then he can get 1,3,5 on second die = 3 ways
if he gets 3 on first die, then he can get 1,3,5 on second die = 3 ways
if he gets 5 on first die, then he can get 1,3 on second die =2 ways
if he gets 2 on first die, then he can get 2,4,6 on second die =3 ways
if he gets 4 on first die, then he can get 2,4 on second die=2 ways
if he gets 6 on first die, then he can get 2 on second die =1 ways
even sum=14
total number ways he can roll the die =36
=14/36
=7/18