Task 1. On the faces of a six-faced dice, the numbers 1, 2, 3, 4, 5, and 6 are placed. The dice is thrown and falls on the table. After this, the numbers on all faces except one are visible. The numbers on the five visible faces are multiplied. Find the probability that this product is divisible by 16.

Answer: $0.5$.
Solution. If an odd number is on the invisible face, then in the product of the remaining five numbers, 2, 4, and 6 are present, and it is divisible by 16. If an even number is on the invisible face, the product of the remaining five digits is not divisible by 16 - its prime factorization will not have four twos.