Friday, 1 July 2016

One die (1d6)
Anoher method using a single dice:
  1. Roll a die;
  2. Draw the line:
    • If it's an even number (2,4,6), draw  ;
    • If it's an odd number (1,3,5), draw  ;
  3. If it's 1 or 6, it's a moving line;
  4. Repeat steps 1-3 other five times drawing the hexagram from the bottom to the top. 

Probabilities

The probabilities are similar to the three coins one but there are more chances of producing moving lines:

Prob(6) = Prob(9) = 1/6 = 16.7%
Prob(8) = Prob(7) = 2/6 = 33.3%
Prob(yin) = Prob(yang) = 1/2

Variations

I've found that the company Antony Publishing sells dice that works with the same principle but can directly provide the resulting line (moving lines are marked with a dot). These two images have been taken directly from their site:


Single die

Set of six dice

4 comments:

  1. Rolling 3 dice, going off odds and evens and have 3 rolls odds or 3 roll evens would result in the same changes as three coins wouldn't it?

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    Replies
    1. Sorry the "3 roll odds and 3 roll evens" was referring to moving lines

      Delete
    2. Yes, if you only consider odd/even as outcome, a die becomes equivalent to a coint and, hence, using three dice this way is equivalent to using three coins!

      Delete
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