Three dice are thrown. Find the probability that the total of the dropped points is 9.

To find out the probability of a certain event, it is necessary to correlate the number of favorable options with the number of possible ones.

There are 3 dice, each of them has 6 faces, which means the number of possible options: 6 * 6 * 6 = 216. Let’s count the number of favorable options:

1 2 6 – 6 possible options (3 * 2 * 1 = 6);

1 3 5 – 6 options;

1 4 4 – 3 options (3 * 1 * 1 = 3);

2 3 4 – 6 options;

2 5 2 – 3;

3 2 4 – 6;

3 3 3 – 1 option.

Total, 6 + 6 + 3 + 6 + 3 + 6 + 1 = 31.

31/216 = 0.144, that is, the probability is 14.4%.