Каковы возможные суммы чисел, выпавших при броске двух игральных кубиков? А какие суммы могут быть получены при броске

При броске двух игральных кубиков возможны следующие суммы чисел:

1. Для начала рассмотрим все возможные комбинации двух чисел, выпавших на кубиках:

- 1 + 1 = 2
- 1 + 2 = 3
- 1 + 3 = 4
- 1 + 4 = 5
- 1 + 5 = 6
- 1 + 6 = 7
- 2 + 1 = 3
- 2 + 2 = 4
- 2 + 3 = 5
- 2 + 4 = 6
- 2 + 5 = 7
- 2 + 6 = 8
- 3 + 1 = 4
- 3 + 2 = 5
- 3 + 3 = 6
- 3 + 4 = 7
- 3 + 5 = 8
- 3 + 6 = 9
- 4 + 1 = 5
- 4 + 2 = 6
- 4 + 3 = 7
- 4 + 4 = 8
- 4 + 5 = 9
- 4 + 6 = 10
- 5 + 1 = 6
- 5 + 2 = 7
- 5 + 3 = 8
- 5 + 4 = 9
- 5 + 5 = 10
- 5 + 6 = 11
- 6 + 1 = 7
- 6 + 2 = 8
- 6 + 3 = 9
- 6 + 4 = 10
- 6 + 5 = 11
- 6 + 6 = 12

Таким образом, при броске двух игральных кубиков возможны суммы чисел от 2 до 12.

А теперь рассмотрим бросок трех игральных кубиков:

1. Для начала рассмотрим все возможные комбинации трех чисел, выпавших на кубиках:

- 1 + 1 + 1 = 3
- 1 + 1 + 2 = 4
- 1 + 1 + 3 = 5
- 1 + 1 + 4 = 6
- 1 + 1 + 5 = 7
- 1 + 1 + 6 = 8
- 1 + 2 + 1 = 4
- 1 + 2 + 2 = 5
- 1 + 2 + 3 = 6
- 1 + 2 + 4 = 7
- 1 + 2 + 5 = 8
- 1 + 2 + 6 = 9
- 1 + 3 + 1 = 5
- 1 + 3 + 2 = 6
- 1 + 3 + 3 = 7
- 1 + 3 + 4 = 8
- 1 + 3 + 5 = 9
- 1 + 3 + 6 = 10
- 1 + 4 + 1 = 6
- 1 + 4 + 2 = 7
- 1 + 4 + 3 = 8
- 1 + 4 + 4 = 9
- 1 + 4 + 5 = 10
- 1 + 4 + 6 = 11
- 1 + 5 + 1 = 7
- 1 + 5 + 2 = 8
- 1 + 5 + 3 = 9
- 1 + 5 + 4 = 10
- 1 + 5 + 5 = 11
- 1 + 5 + 6 = 12
- 1 + 6 + 1 = 8
- 1 + 6 + 2 = 9
- 1 + 6 + 3 = 10
- 1 + 6 + 4 = 11
- 1 + 6 + 5 = 12
- 1 + 6 + 6 = 13
- 2 + 1 + 1 = 4
- 2 + 1 + 2 = 5
- 2 + 1 + 3 = 6
- 2 + 1 + 4 = 7
- 2 + 1 + 5 = 8
- 2 + 1 + 6 = 9
- 2 + 2 + 1 = 5
- 2 + 2 + 2 = 6
- 2 + 2 + 3 = 7
- 2 + 2 + 4 = 8
- 2 + 2 + 5 = 9
- 2 + 2 + 6 = 10
- 2 + 3 + 1 = 6
- 2 + 3 + 2 = 7
- 2 + 3 + 3 = 8
- 2 + 3 + 4 = 9
- 2 + 3 + 5 = 10
- 2 + 3 + 6 = 11
- 2 + 4 + 1 = 7
- 2 + 4 + 2 = 8
- 2 + 4 + 3 = 9
- 2 + 4 + 4 = 10
- 2 + 4 + 5 = 11
- 2 + 4 + 6 = 12
- 2 + 5 + 1 = 8
- 2 + 5 + 2 = 9
- 2 + 5 + 3 = 10
- 2 + 5 + 4 = 11
- 2 + 5 + 5 = 12
- 2 + 5 + 6 = 13
- 2 + 6 + 1 = 9
- 2 + 6 + 2 = 10
- 2 + 6 + 3 = 11
- 2 + 6 + 4 = 12
- 2 + 6 + 5 = 13
- 2 + 6 + 6 = 14
- 3 + 1 + 1 = 5
- 3 + 1 + 2 = 6
- 3 + 1 + 3 = 7
- 3 + 1 + 4 = 8
- 3 + 1 + 5 = 9
- 3 + 1 + 6 = 10
- 3 + 2 + 1 = 6
- 3 + 2 + 2 = 7
- 3 + 2 + 3 = 8
- 3 + 2 + 4 = 9
- 3 + 2 + 5 = 10
- 3 + 2 + 6 = 11
- 3 + 3 + 1 = 7
- 3 + 3 + 2 = 8
- 3 + 3 + 3 = 9
- 3 + 3 + 4 = 10
- 3 + 3 + 5 = 11
- 3 + 3 + 6 = 12
- 3 + 4 + 1 = 8
- 3 + 4 + 2 = 9
- 3 + 4 + 3 = 10
- 3 + 4 + 4 = 11
- 3 + 4 + 5 = 12
- 3 + 4 + 6 = 13
- 3 + 5 + 1 = 9
- 3 + 5 + 2 = 10
- 3 + 5 + 3 = 11
- 3 + 5 + 4 = 12
- 3 + 5 + 5 = 13
- 3 + 5 + 6 = 14
- 3 + 6 + 1 = 10
- 3 + 6 + 2 = 11
- 3 + 6 + 3 = 12
- 3 + 6 + 4 = 13
- 3 + 6 + 5 = 14
- 3 + 6 + 6 = 15
- 4 + 1 + 1 = 6
- 4 + 1 + 2 = 7
- 4 + 1 + 3 = 8
- 4 + 1 + 4 = 9
- 4 + 1 + 5 = 10
- 4 + 1 + 6 = 11
- 4 + 2 + 1 = 7
- 4 + 2 + 2 = 8
- 4 + 2 + 3 = 9
- 4 + 2 + 4 = 10
- 4 + 2 + 5 = 11
- 4 + 2 + 6 = 12
- 4 + 3 + 1 = 8
- 4 + 3 + 2 = 9
- 4 + 3 + 3 = 10
- 4 + 3 + 4 = 11
- 4 + 3 + 5 = 12
- 4 + 3 + 6 = 13
- 4 + 4 + 1 = 9
- 4 + 4 + 2 = 10
- 4 + 4 + 3 = 11
- 4 + 4 + 4 = 12
- 4 + 4 + 5 = 13
- 4 + 4 + 6 = 14
- 4 + 5 + 1 = 10
- 4 + 5 + 2 = 11
- 4 + 5 + 3 = 12
- 4 + 5 + 4 = 13
- 4 + 5 + 5 = 14
- 4 + 5 + 6 = 15
- 4 + 6 + 1 = 11
- 4 + 6 + 2 = 12
- 4 + 6 + 3 = 13
- 4 + 6 + 4 = 14
- 4 + 6 + 5 = 15
- 4 + 6 + 6 = 16
- 5 + 1 + 1 = 7
- 5 + 1 + 2 = 8
- 5 + 1 + 3 = 9
- 5 + 1 + 4 = 10
- 5 + 1 + 5 = 11
- 5 + 1 + 6 = 12
- 5 + 2 + 1 = 8
- 5 + 2 + 2 = 9
- 5 + 2 + 3 = 10
- 5 + 2 + 4 = 11
- 5 + 2 + 5 = 12
- 5 + 2 + 6 = 13
- 5 + 3 + 1 = 9
- 5 + 3 + 2 = 10
- 5 + 3 + 3 = 11
- 5 + 3 + 4 = 12
- 5 + 3 + 5 = 13
- 5 + 3 + 6 = 14
- 5 + 4 + 1 = 10
- 5 + 4 + 2 = 11
- 5 + 4 + 3 = 12
- 5 + 4 + 4 = 13
- 5 + 4 + 5 = 14
- 5 + 4 + 6 = 15
- 5 + 5 + 1 = 11
- 5 + 5 + 2 = 12
- 5 + 5 + 3 = 13
- 5 + 5 + 4 = 14
- 5 + 5 + 5 = 15
- 5 + 5 + 6 = 16
- 5 + 6 + 1 = 12
- 5 + 6 + 2 = 13
- 5 + 6 + 3 = 14
- 5 + 6 + 4 = 15
- 5 + 6 + 5 = 16
- 5 + 6 + 6 = 17
- 6 + 1 + 1 = 8
- 6 + 1 + 2 = 9
- 6 + 1 + 3 = 10
- 6 + 1 + 4 = 11
- 6 + 1 + 5 = 12
- 6 + 1 + 6 = 13
- 6 + 2 + 1 = 9
- 6 + 2 + 2 = 10
- 6 + 2 + 3 = 11
- 6 + 2 + 4 = 12
- 6 + 2 + 5 = 13
- 6 + 2 + 6 = 14
- 6 + 3 + 1 = 10
- 6 + 3 + 2 = 11
- 6 + 3 + 3 = 12
- 6 + 3 + 4 = 13
- 6 + 3 + 5 = 14
- 6 + 3 + 6 = 15
- 6 + 4 + 1 = 11
- 6 + 4 + 2 = 12
- 6 + 4 + 3 = 13
- 6 + 4 + 4 = 14
- 6 + 4 + 5 = 15
- 6 + 4 + 6 = 16
- 6 + 5 + 1 = 12
- 6 + 5 + 2 = 13
- 6 + 5 + 3 = 14
- 6 + 5 + 4 = 15
- 6 + 5 + 5 = 16
- 6 + 5 + 6 = 17
- 6 + 6 + 1 = 13
- 6 + 6 + 2 = 14
- 6 + 6 + 3 = 15
- 6 + 6 + 4 = 16
- 6 + 6 + 5 = 17
- 6 + 6 + 6 = 18

Таким образом, при броске трех игральных кубиков возможны суммы чисел от 3 до 18.