Answer:
The first die can come in 6 different ways as can the second die.
This gives a total of 36 ways.
However 1-1 , 2-2, etc. can only come up once so the total ways for two die to be arranged is 30.
Now enumerate the total that are divisible by 3:
1-2 and 2-1 2 ways for a total of three
1-5 5-1 2-4 4-2 3-3 5 ways for a total of six
4-5 5-4 6-3 3-6 4 ways for a total of nine
6-6 for a total of 12
So there are 12 ways to get a total divisible by 3
This gives a probability of 12/30 = 2/5
