Quick Statistical Notes on the Geomantic Joys

[sdi]

Every figure is equally likely to rejoice. (This means, for example, that Carcer is no more likely to appear in the XII than Puella is in the V.)

This is how likely a chart is to have a given number of simultaneously-rejoicing figures (assuming that Caput Draconis rejoices in the II and that Cauda Draconis rejoices in the VIII, which I have not yet been able to verify):

0	1	2	3	4	5	6	7
35%	38%	19%	6%	1%	1‰	1‱	0%

(Seven was the theoretical maximum, since there are nine houses where figures can rejoice, and I demonstrated in my previous post that you can't simultaneously have Mercury and Venus, and the Sun and Jupiter, rejoicing, which lowers the maximum by two. It turns out that maximum cannot be achieved.)

Of the twelve charts where six figures rejoice, all of them have Caput Draconis in the II, six of them have Puella in the I, and five of them have Amissio in the IV. Here is one example, with Caput Draconis, Puella, Rubeus, Cauda Draconis, Fortuna Minor, and Tristitia rejoicing: