The Three Indistinguishable Dice Puzzle -- Solution

Описание: Spoiler: Final Solution at End of Description

This video is in response to the challenge from Matt Parker. Can you roll three fair six-sided dice and equate it to rolling two fair six-sided dice? Matt's Channel:    / @standupmaths  
Matt's Challenge:
   • The Three Indistinguishable Dice Puzzle  

Final Table:
Two-Dice Roll Corresponding Three-Dice Roll
2 Three Unique Rolls Sum to 6
3 Three Unique Rolls Sum to 8
4 Three Unique Rolls Sum to 9
5 Three Unique Rolls Sum to 7 or 10
6 Exactly two 1s or exactly two 2s
7 Exactly two 3s, exactly two 4s, or three-of-a-kind
8 Exactly two 5s or exactly two 6s
9 Three Unique Rolls Sum to 11 or 14
10 Three Unique Rolls Sum to 12
11 Three Unique Rolls Sum to 13
12 Three Unique Rolls Sum to 15