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Topic: Mathematical Puzzle

Posted by: intergalactic9

Subject: Mathematical Puzzle
Date: Nov 01 10

Most of my previous puzzles have involved logic and lateral thinking and have yielded discrete answers. This puzzle will, most probably, have many answers. Here it is

You are asked to create a set of 3 dice for a toy company. You can use any whole number from 1 to 6 as many times as you like on each dice. Two dice will be rolled at a time and the highest number will win. They have requested that...

Dice A is more likely to beat Dice B
Dice B is more likely to beat Dice C
Dice C is more likely to beat Dice A

What do you think?

Inter G



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8 replies. On page 1 of 1 pages. 1
salami_swami

How about...

Die A has pictures of paper on all six sides.
Die B has pictures of rocks on all six sides.
Die C has pictures of scissors on all six sides.

Reply #1. Nov 01 10, 11:46 AM

intergalactic9 Two problems with that...

1) You are only allowed to use the numbers 1-6
2) The chance is only likely, not certain for A to prevail over B etc

Reply #2. Nov 01 10, 11:49 AM

houston1127 Can you use functions? Or must each side of the dice contain only a single number?

Reply #3. Nov 01 10, 6:12 PM

WesleyCrusher

A: 333333
B: 222255
C: 114444

A beats B 2/3
B beats C 5/9
C beats A 2/3

...and I don't even need the 6.


Reply #4. Nov 01 10, 6:42 PM

adams627 I think this works, but I did a rough sketch on the probabilities...
A: 665111
B: 444441
C: 633331

Tricky question, though!

Reply #5. Nov 01 10, 6:50 PM

geniusonwheels

This is one of my favorite sections in math.

You can learn a whole lot more about these type things here: http://en.wikipedia.org/wiki/Nontransitive_dice

Reply #6. Nov 01 10, 8:09 PM

intergalactic9 2 correct solutions there! Fascinating it is possible to do with 5 numbers!

Reply #7. Nov 02 10, 1:17 AM

zebraprint12 66111
65777
69111

Reply #8. Apr 24 12, 1:28 PM

8 replies. On page 1 of 1 page(s). 1


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