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Farkle dice odds breakdown updated 5-1-2011 by Gregg Roessger
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Name Odds with six dice Percentage
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Specific Six of a kind: 1 in 46656 or 1 in 46656.00 0.002143
Six of a kind: 6 in 46656 or 1 in 7776.00 0.012860
Specific Five of a kind: 30 in 46656 or 1 in 1555.20 0.064300
Five of a kind: 180 in 46656 or 1 in 259.20 0.385802
Two triples: 300 in 46656 or 1 in 155.52 0.643004
Straight: 720 in 46656 or 1 in 64.80 1.543210
Specific Four of a kind: 300 in 46656 or 1 in 155.52 0.643004
Four of a kind: 1800 in 46656 or 1 in 25.92 3.858025
Three pairs: 2250 in 46656 or 1 in 20.74 4.822531
Specific Three of a kind: 2280 in 46656 or 1 in 20.46 4.886831
Three of a kind: 13680 in 46656 or 1 in 3.41 29.320988
Other ones or fives: 26544 in 46656 or 1 in 1.76 56.893004
Farkles: 1176 in 46656 or 1 in 39.67 2.520576
Non-Farkles: 45480 in 46656 or 1 in 1.03 97.479424
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Name Odds with five dice Percentage
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Specific Five of a kind: 1 in 7776 or 1 in 7776.00 0.012860
Five of a kind: 6 in 7776 or 1 in 1296.00 0.077160
Specific Four of a kind: 25 in 7776 or 1 in 311.04 0.321502
Four of a kind: 150 in 7776 or 1 in 51.84 1.929012
Specific Three of a kind: 250 in 7776 or 1 in 31.10 3.215021
Three of a kind: 1500 in 7776 or 1 in 5.18 19.290123
Other ones or fives: 5520 in 7776 or 1 in 1.41 70.987654
Farkles: 600 in 7776 or 1 in 12.96 7.716049
Non-Farkles: 7176 in 7776 or 1 in 1.08 92.283951
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Name Odds with four dice Percentage
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Specific Four of a kind: 1 in 1296 or 1 in 1296.00 0.077160
Four of a kind: 6 in 1296 or 1 in 216.00 0.462963
Specific Three of a kind: 20 in 1296 or 1 in 64.80 1.543210
Three of a kind: 120 in 1296 or 1 in 10.80 9.259259
Other ones or fives: 966 in 1296 or 1 in 1.34 74.537037
Farkles: 204 in 1296 or 1 in 6.35 15.740741
Non-Farkles: 1092 in 1296 or 1 in 1.19 84.259259
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Name Odds with three dice Percentage
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Specific Three of a kind: 1 in 216 or 1 in 216.00 0.462963
Three of a kind: 6 in 216 or 1 in 36.00 2.777778
Other ones or fives: 150 in 216 or 1 in 1.44 69.444444
Farkles: 60 in 216 or 1 in 3.60 27.777778
Non-Farkles: 156 in 216 or 1 in 1.38 72.222222
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Name Odds with two dice Percentage
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Other ones or fives: 20 in 36 or 1 in 1.80 55.555556
Farkles: 16 in 36 or 1 in 2.25 44.444444
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Name Odds with one dice Percentage
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Other ones or fives: 2 in 6 or 1 in 3.00 33.333333
Farkles: 4 in 6 or 1 in 1.50 66.666667
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