Step one · Casting
Three coins, thrown six times
Throw first, learn second. Every throw shows you why these three coins give this number, and which line it becomes.
Nothing cast yet
Press the button below to throw the first line, starting at line 1.
| Line | Numbers | Name | Yin/yang | Moves |
|---|
Bottom to top, matching the figure on the left: the newest throw sits at the top of the table.
Your casting
What just happened
| Sum of three | Name | Yin/yang | Changes? | Probability |
|---|---|---|---|---|
| 6 | old yin | yin | turns yang | 1/8 ＝ 12.5% |
| 7 | young yang | yang | holds | 3/8 ＝ 37.5% |
| 8 | young yin | yin | holds | 3/8 ＝ 37.5% |
| 9 | old yang | yang | turns yin | 1/8 ＝ 12.5% |
One face counts as 3 and the other as 2, so three coins can only add up to 6, 7, 8 or 9. Among the eight combinations, all-2s and all-3s occur once each, giving 6 and 9 a probability of 1/8 apiece; 7 and 8 have three combinations each, at 3/8 apiece.
Any single line has a 1/4 chance of moving, so across all six — no moving lines 17.8% of the time, one moving line 35.6%, two or more 46.6%. Multiple moving lines are not unusual.