The Probabilities of the Four Lines: CoinsIn each coin toss there is one chance in two or probability of 1/2 of obtaining a head or a tail. As three coin tosses determine a line, it is easy to compute the probabilities of the four lines: |
| 6 | -x- | old yin | 1/8 |
| 7 | --- | young yang | 3/8 |
| 8 | - - | young yin | 3/8 |
| 9 | -o- | old yang | 1/8 |
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After casting a hyperhexagram with six tosses of three coins, a yang line in the first hexagram results from either a young yang or an old yang hyperline. Thus the probability of a yang line is the sum of the probabilities of old yang (1/8) and young yang (3/8) or 4/8, 50%. The chances of a yin line are likewise 50%. This is an equal opportunity system. The chances that a hyperline will be changing, old yang or old yin, is (1/4 + 1/4) or 25%. Revised 27 Sept 1999 by Ralph |