Ken's POTW
Alternative Dice
A regular pair of dice consists of two 6-sided dice with the numbers 1
through 6 on both dice, yielding the following probability for each
sum:
| 2: | 1/36
| | 3: | 2/36
| | 4: | 3/36
| | 5: | 4/36
| | 6: | 5/36
| | 7: | 6/36
|
| 8: | 5/36
| | 9: | 4/36
| | 10: | 3/36
| | 11: | 2/36
| | 12: | 1/36
|
Can you find other sets of dice that yield this same probability table?
Source:
Original, based upon a puzzle from
Ken Burres' Math Problem of the Week.
Solution
Mail to Ken