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trick--it just overestimates approximately as often as it underestimates. To evaluate the specific actions suggested by the Law,we need a bit more detail.Here it is: Error Length samples -4-3-2-1 0 +1 +2+3 +4 14 46,9440.10.64.827.046.618.22.40.20.0 15 47,2810.10.65.026.645.719.22.60.20.0 16 120,5250.10.53.820.742.426.35.50.70.1 17 102,1840.10.65.223.539.424.55.80.70.1 18 69,7920.10.87.125.036.022.86.91.20.1 19 37,5610.11.310.728.933.818.85.41.00.1 20 15,8450.23.116.431.529.913.74.40.70.0 21 5,0410.77.424.031.923.310.12.30.30.0 22 1,2862.713.728.630.217.75.41.60.10.0 23 2374.225.729.126.212.22.10.00.00.0 24 4511.133.328.922.22.22.20.00.00.0 Total446,7410.10.96.224.540.022.45.10.70.1 In this table,the figures give the probability that the Law is off by the given amount.Thus,with 16 cards in the two suits, there is a 42.4%chance that the Law is correct,a 26.3%chance that 17 tricks can be taken by the two sides,and so on. Do these results validate or invalidate the Law Something in between.trick -- it just overestimates approximately as often as it underestimates. To evaluate the specific actions suggested by the Law, we need a bit more detail. Here it is: Error Length samples −4 −3 −2 −1 0 +1 +2 +3 +4 14 46,944 0.1 0.6 4.8 27.0 46.6 18.2 2.4 0.2 0.0 15 47,281 0.1 0.6 5.0 26.6 45.7 19.2 2.6 0.2 0.0 16 120,525 0.1 0.5 3.8 20.7 42.4 26.3 5.5 0.7 0.1 17 102,184 0.1 0.6 5.2 23.5 39.4 24.5 5.8 0.7 0.1 18 69,792 0.1 0.8 7.1 25.0 36.0 22.8 6.9 1.2 0.1 19 37,561 0.1 1.3 10.7 28.9 33.8 18.8 5.4 1.0 0.1 20 15,845 0.2 3.1 16.4 31.5 29.9 13.7 4.4 0.7 0.0 21 5,041 0.7 7.4 24.0 31.9 23.3 10.1 2.3 0.3 0.0 22 1,286 2.7 13.7 28.6 30.2 17.7 5.4 1.6 0.1 0.0 23 237 4.2 25.7 29.1 26.2 12.2 2.1 0.0 0.0 0.0 24 45 11.1 33.3 28.9 22.2 2.2 2.2 0.0 0.0 0.0 Total 446,741 0.1 0.9 6.2 24.5 40.0 22.4 5.1 0.7 0.1 In this table, the figures give the probability that the Law is off by the given amount. Thus, with 16 cards in the two suits, there is a 42.4% chance that the Law is correct, a 26.3% chance that 17 tricks can be taken by the two sides, and so on. Do these results validate or invalidate the Law ? Something in between
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