Elevens

The rules of this game can be found here.

My program won this game 10.69% of the time, which seems consistent with Jan Wolter's previous result. The odds of winning can be easily adjusted to your liking by changing the number of piles (normally 9), so I ran tests using a variety of layout sizes.

Win Rates for Elevens,
one billion deals each
Piles	Games Won	Win Rate %
7	2,895,280	0.29
8	26,005,968	2.60
9	106,880,748	10.69
10	264,723,811	26.47
11	469,173,402	46.92
12	665,539,077	66.55
13	815,516,670	81.55
14	910,434,928	91.04
15	961,595,626	96.16

For a similar game without the discarding of face cards, see Block Eleven.

Suit Elevens

This game is similar to Elevens, but each set of cards being discarded must have the same suit, and 15 piles are used (see rules here).

My program won 13.14%, matching Jan Wolter's result as well.

Win Rates for Suit Elevens,
one billion deals each
Piles	Games Won	Win Rate %
12	4,642,499	0.46
13	18,468,750	1.85
14	55,441,365	5.54
15	131,434,400	13.14
16	254,960,647	25.50
17	417,297,851	41.73
18	592,571,086	59.26
19	749,415,539	74.94
20	866,448,988	86.64
21	939,194,515	93.92
22	976,720,148	97.67

Any comments are welcome, please send to Mark Masten at:

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