Wednesday, 29 June 2016

Aleister Crowley's sticks

This method is attributed to the controversial occultist Aleister Crowley. It has been reported that he used six flat sticks prepared as shown in the image (a 3D reconstruction).
Each stick has one side completely flat (representing yang, solid lines) and one side with a circular groove painted in red (representig yin, broken lines).
One of the sticks has one side painted in black, that stick represents a moving line.

The images shows the hexagram 21.5>62.

The method proceeds as follows:
  1. Without looking mix and shuffle the six sticks;
  2. Throw them on the table;
  3. Align them, always without looking, to form the hexagram;
  4. Look at the formed hexagram.

Probabilities

This method, which is identical to the six coins one, always produces exactly one changing line meaning that there are only 276 possible responses (out of the 4096 that are theoretically possible).

The probabilities for each lines are:

Prob(6) = Prob(9) = 1/6 * 1/2 = 8.33%
Prob(8) = Prob(7) = 5/6 * 1/2 = 41.67%
Prob(yin) = Prob(yang) = 1/2


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