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A5 Triple Draw Hand Probabilities
These tables show the probability of being dealt an A-5 triple draw hand of the specified strength (5-high, 6-high, etc.) for a variety of different hand sizes and wild card choices. This article will teach you everything you need to know about A5 triple draw hand ranges and odds.
Visit LockPoker.com Download the free software Note that the hands being compared are always 5-card A-5 lowball hands, even if the table is for a deal containing more cards. Here are some links to other useful A-5 triple draw articles:
5 Cards, No Wild Cards
Lowball Hand Number of Hands Probability Five high 1,024 0.00039400 Six high 5,120 0.00197002 Seven high 15,360 0.00591006 Eight high 35,840 0.01379013 Nine high 71,680 0.02758026 Ten high 129,024 0.04964447 Jack high 215,040 0.04964447 Queen high 337,920 0.13002124 King high 506,880 0.13002124 Pair or worse 1,281,072 0.49291717 Total 2,598,960 1.00000000 The median hand is thus a very rough K-high. The median is the “1299480th” hand, while the first pair is hand 1,317,888. Each rank comes in 1024 possibilities due to the suit assignments of the 5 cards. (1024=5^4.) So the median hand is the 18th worst K-high. Counting down from KQJT9 gives us KQJ87 (unless I made an off-by-one error or two or three.)
5 Cards, One Joker
Lowball Hand Number of Hands Probability Five high 2,304 0.00080288 Six high 7,680 0.00267625 Seven high 20,480 0.00713667 Eight high 44,800 0.01561147 Nine high 86,016 0.02997402 Ten high 150,528 0.05245454 Jack high 245,760 0.08564006 Queen high 380,160 0.13247447 King high 563,200 0.19625847 Pair or worse 1,368,757 0.17697117 Total 2,869,685 1.00000000 5 Cards, Two Jokers
Lowball Hand Number of Hands Probability Five high 4,224 0.00133565 Six high 10,880 0.00344031 Seven high 26,560 0.00839839 Eight high 55,104 0.01742413 Nine high 102,144 0.03229840 Ten high 174,336 0.05512583 Jack high 279,360 0.08833490 Queen high 425,920 0.13467784 King high 623,744 0.19723068 Pair or worse 1,460,238 0.46173388 Total 3,162,510 1.00000000 5 Cards, One-Eyed Jacks Wild
Lowball Hand Number of Hands Probability Five high 4,224 0.00162527 Six high 10,880 0.00418629 Seven high 26,560 0.01021947 Eight high 55,104 0.02120233 Nine high 102,144 0.03930187 Ten high 174,336 0.06707914 Jack high 139,680 0.05374457 Queen high 352,640 0.13568504 King high 524,832 0.20193924 Pair or worse 1,208,560 0.46501678 Total 2,598,960 1.00000000 6 Cards, No Wild Cards
Lowball Hand Number of Hands Probability Five high 40,448 0.00198678 Six high 181,760 0.00892796 Seven high 483,840 0.02376597 Eight high 985,600 0.04841216 Nine high 1,684,480 0.08274079 Ten high 2,515,968 0.12358305 Jack high 3,333,120 0.16372113 Queen high 3,886,080 0.19088224 King high 3,801,600 0.18673263 Pair or worse 3,445,624 0.16924727 Total 20,358,520 1.00000000 6 Cards, One Joker
Lowball Hand Number of Hands Probability Five high 90,112 0.00392517 Six high 268,800 0.01170860 Seven high 637,440 0.02776611 Eight high 1,218,560 0.05307900 Nine high 1,999,872 0.08711200 Ten high 2,903,040 0.12645290 Jack high 3,763,200 0.16392043 Queen high 4,308,480 0.18767217 King high 4,139,520 0.18031247 Pair or worse 3,628,456 0.15805114 Total 22,957,480 1.00000000 7 Cards, No Wild Cards
Lowball Hand Number of Hands Probability Five high 781,824 0.00584390 Six high 3,151,360 0.02355548 Seven high 7,426,560 0.05551134 Eight high 13,171,200 0.09845082 Nine high 19,174,400 0.14332297 Ten high 23,675,904 0.17697038 Jack high 24,837,120 0.18565012 Queen high 21,457,920 0.16039160 King high 13,939,200 0.10419140 Pair or worse 6,169,072 0.04611199 Total 133,784,560 1.00000000 7 Cards, One Joker
Lowball Hand Number of Hands Probability Five high 1,725,312 0.01119293 Six high 4,593,920 0.02980296 Seven high 9,666,560 0.06271161 Eight high 16,105,600 0.10448474 Nine high 22,521,856 0.14611007 Ten high 27,019,776 0.17529023 Jack high 27,709,440 0.17976441 Queen high 23,464,320 0.15222428 King high 14,924,800 0.09682433 Pair or worse 6,411,496 0.04159445 Total 154,143,080 1.00000000 8 Cards, No Wild Cards
Lowball Hand Number of Hands Probability Five high 9,856,000 0.01309701 Six high 35,563,520 0.04725810 Seven high 74,019,840 0.09836025 Eight high 113,971,200 0.15144907 Nine high 140,851,200 0.18716819 Ten high 143,216,640 0.19031147 Jack high 118,487,040 0.15744988 Queen high 75,694,080 0.10058504 King high 32,947,200 0.04378143 Pair or worse 7,931,430 0.01053957 Total 752,538,150 1.00000000 9 Cards, No Wild Cards
Lowball Hand Number of Hands Probability Five high 91,126,080 0.02476874 Six high 293,736,000 0.07983962 Seven high 538,618,560 0.14640052 Eight high 717,886,400 0.19512685 Nine high 750,512,000 0.20399473 Ten high 625,806,720 0.17009891 Jack high 406,492,800 0.11048776 Queen high 191,368,320 0.05201533 King high 55,915,200 0.01519817 Pair or worse 7,613,320 0.00206936 Total 3,679,075,400 1.00000000 10 Cards, No Wild Cards
Lowball Hand Number of Hands Probability Five high 658,829,280 0.04164528 Six high 1,893,034,080 0.11966063 Seven high 3,050,318,880 0.19281379 Eight high 3,508,367,520 0.22176752 Nine high 3,091,197,760 0.19539779 Ten high 2,104,409,664 0.13302190 Jack high 1,067,774,400 0.06749512 Queen high 368,575,680 0.02329805 King high 71,961,120 0.00454874 Pair or worse 5,555,836 0.00035119 Total 15,820,024,220 1.00000000