Indicate the probability that when two dice are tossed at the same time, the sum of the numbers

Indicate the probability that when two dice are tossed at the same time, the sum of the numbers on these dice will be a multiple of three.

Since a dice has 6 sides, there are 6 chances of scoring when flipping this die once, and when flipping two dice there are 6 * 6 = 36 chances of scoring.

Let us list all the cases when, when tossing two dice at the same time, the sum of the dropped points will be a multiple of three:

12;

15:

2, 1;

2, 4;

3, 3;

3, 6;

4, 2;

4, 5;

5, 1.

5, 4,

6, 3,

6, 6.

Therefore, the sum of the dropped out points will be a multiple of three in 12 cases out of 36 and the probability of such an event is 12/36 = 1/3.

Answer: the probability of such an event is 1/3.