Aces Up!

The game is described here: https://en.wikipedia.org/wiki/Aces_Up

Simulation of the solitaire card game Aces Up, better known in my family as Idiot's Delight.

After playing 4,000,000 games of Idiot's Delight, I found the resulting distribution:

Cards Remaining	Number of Games	Proportion of Games	Odds
4 (Win!)	28228	0.007057	141.7
5	46627	0.01165675	85.79
6	71662	0.0179155	55.82
7	100050	0.0250125	39.98
8	131644	0.032911	30.38
9	160826	0.0402065	24.87
10	124602	0.04756975	21.02
11	216330	0.0540825	18.49
12	237785	0.05944625	16.82
13	253650	0.0634125	15.77
14	264213	0.06605325	15.14
15	266394	0.0665985	15.02
16	262854	0.0657135	15.22
17	253843	0.06346075	15.76
18	239526	0.0598815	16.7
19	190279	0.05479625	18.25
20	197549	0.04938725	20.25
21	174628	0.043657	22.91
22	149221	0.03730525	26.81
23	124686	0.0311715	32.08
24	102202	0.0255505	39.14
25	81777	0.02044425	48.91
26	63584	0.015896	62.91
27	49047	0.01226175	81.55
28	36387	0.00909675	109.93
29	26029	0.00650725	153.67
30	18075	0.00451875	221.3
31	12248	0.003062	326.58
32	8392	0.002098	476.64
33	5346	0.0013365	748.22
34	3307	0.00082675	1209.56
35	1988	0.000497	2012.07
36	1147	0.00028675	3487.36
37	604	0.000151	6622.52
38	346	8.65e-05	11560.69
39	175	4.375e-05	22857.14
40	80	2e-05	50000.0
41	52	1.3e-05	76923.08
42	16	4e-06	250000.0
43	12	3e-06	333333.33
44	3	7.5e-07	1333333.33
45	2	5e-07	2000000.0
46	0	0
47	0	0
48	1	2.5e-07	4000000.0
49	0	0
50	0	0
51	0	0
52	0	0