Find the probability that with one throw of three dice, the number of points does not exceed 16.

– The first, randomly chosen die can roll either 1 or 3.

– On the second, randomly chosen die, either 1, 2, or 3 can be rolled.

– The third, randomly chosen die can roll either 1, 2, or 3.

– In total, the number of points on the dice together does not exceed 16.

In total, there are 2 possible options for 1 dice, 3 for the second and 3 for the third, the conditions must occur simultaneously, therefore: 3 * 3 * 3 = 27 possible options.

Answer: 27.