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Subject: Re: Simulator Shows That Crafty & Ruffian Could Easily Be Equally Good

Author: Álvaro Begué

Date: 12:19:10 10/14/04

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You really should study some more math. You don't need to do a Montecarlo
simulation for this. You can compute the probabilities explicitly with dynamic
programming, or through generating series (which are the same thing in the end).

0.0 0.00000000
0.5 0.00000000
1.0 0.00000001
1.5 0.00000011
2.0 0.00000077
2.5 0.00000454
3.0 0.00002253
3.5 0.00009681
4.0 0.00036645
4.5 0.00123913
5.0 0.00378273
5.5 0.01051276
6.0 0.02677871
6.5 0.06286813
7.0 0.13665717
7.5 0.27609578
8.0 0.52012862
8.5 0.91614381
9.0 1.51221011
9.5 2.34364792
10.0 3.41589083
10.5 4.68841893
11.0 6.06640762
11.5 7.40617128
12.0 8.53683462
12.5 9.29480081
13.0 9.56183965
13.5 9.29480081
14.0 8.53683462
14.5 7.40617128
15.0 6.06640762
15.5 4.68841893
16.0 3.41589083
16.5 2.34364792
17.0 1.51221011
17.5 0.91614381
18.0 0.52012862
18.5 0.27609578
19.0 0.13665717
19.5 0.06286813
20.0 0.02677871
20.5 0.01051276
21.0 0.00378273
21.5 0.00123913
22.0 0.00036645
22.5 0.00009681
23.0 0.00002253
23.5 0.00000454
24.0 0.00000077
24.5 0.00000011
25.0 0.00000001
25.5 0.00000000
26.0 0.00000000



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