Enigma 290: Dice with a difference
26 June 2015
Posted by on
From New Scientist #1438, 10th January 1985 [link]
Throwing two dice will give you a number from 2 to 12. Of course, some numbers are more likely that others. The probability of 2 for instance is 1/36; of 3 is 2/36; of 4 is 3/36; …; of 7 is 6/36; …; of 8 is 5/36; …; of 12 is 1/36.
That is true of two ordinary 6-sided dice, each bearing the letters of ENIGMA (which stand for the numbers one to six).
It is also true of this special pair of dice I have made — one with 9 sides bearing the letters IMAGINING, the other with 4 sides bearing the letters of GAGS. (S is a positive integer).
I’m not going to tell you how I constructed 9-sided and 4-sided dice. But I did, and they are fair dice. Can you interpret the MEANINGS of these fascinating facts?