Magic Probabilities
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XN_sampleSuccessesN_populationHYPGEOMDIST1-HYPGEOMDIST
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X is the number of results achieved in the random sample.N_sample is the size of the random sample.Successes is the number of possible results in the total population.N_population is the size of the total population.Probability of X occurring.Probability of X not occurring.
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071600.8830.117Successes is number of cards with a particular characteristic in 60-card deck; 1-HYPGEOMDIST is chance that you'll have at least one in your opening hand.
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072600.7790.221"
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073600.6850.315"
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074600.6010.399"
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075600.5250.475"
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076600.4590.541"
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077600.3990.601"
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078600.3460.654"
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079600.3000.700"
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0710600.2590.741"
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0711600.2220.778"
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0712600.1910.809"
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0713600.1630.837"
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0714600.1390.861"
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0715600.1180.882"
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0716600.0990.901"
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0717600.0830.917"
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0718600.0700.930"
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0719600.0580.942"
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0720600.0480.952"
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0721600.0400.960"
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0722600.0330.967"
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0723600.0270.973"
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0724600.0220.978"
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071400.8250.175Successes is number of cards with a particular characteristic in 40-card deck; 1-HYPGEOMDIST is chance that you'll have at least one in your opening hand.
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072400.6770.323"
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073400.5520.448"
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074400.4480.552"
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075400.3610.639"
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076400.2890.711"
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077400.2290.771"
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078400.1810.819"
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079400.1410.859"
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0710400.1090.891"
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0711400.0840.916"
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0712400.0640.936"
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0713400.0480.952"
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0714400.0350.965"
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0715400.0260.974"
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0716400.0190.981"
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0717400.0130.987"
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076600.4590.541
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053400.6620.338
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01013400.0100.990
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11013400.0720.928
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063500.6760.324
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