Evening the Odds:
(from a puzzle magazine)
Toci, the game-obsessed, math-averse trivia fanatic noticed something about his favorite board games.
In all games that required a roll of two dice, the resulting numbers were not evenly distributed.
The odds of getting a:
1 were 0/36
2 were 1/36
3 were 2/36
4 were 3/36
5 were 4/36
6 were 5/36
7 were 6/36
8 were 5/36
9 were 4/36
10 were 3/36
11 were 2/36
12 were 1/36
Rather than accepting these inequitable odds, he designed a pair of dice whose sides would have an equal chance of producing all numbers from 1 thru 12 when thrown.
The redesign was accomplished incorporating the following facts:
1) Each die had six sides, with the odds of any one being landed on 1/6
2) Each side of each die can have from zero to twelve dots (no fractional dots)
How were the dice designed?