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# Quinto Root Sums Chart

## Introduction

Quinto games are not widespread, but have been gaining in popularity in recent years.  In addition to the name "Quinto", 5-digit numbers games are also known as DC-5 in Washington, D.C., Georgia Five in Georgia, and Pick 5 in Ohio.  Payout structures are not as consistent among states as they are in Pick 3 and Pick 4.

The "root sum" of a Quinto combination is an extension of the sums principle: an addition of a combination's five digits.  However, unlike a regular sum, if the sum is more than one digit in length, the sum's digits are added — and added again if necessary — until the resulting sum is one digit in length.

For example, the root sum of 01232 is 8.  That is calculated by adding the five digits of the combination (0 + 1 + 2 + 3 + 2).  Since the sum is one digit in length, we can stop right there.

In another example, the root sum of 75718 is 1.  That is calculated by adding the five digits of the combination (7 + 5 + 7 + 1 + 8) to get 28, which is more than one digit in length, so we need to keep going.  We add the 2 + 8, and we get 10, which is still more than one digit in length.  So we add the 1 + 0, and we get 1, which is one digit in length, so we have arrived at the root sum of 1.

Choosing numbers based on root sums is distinctly different from using regular sums because of the even distribution of numbers, unlike regular sums, which form a "bell curve" distribution of numbers.  Root sums analysis tends to make biases more clearly apparent.

Below you can find a listing of all the possible root sums from 0 to 9, first presented with all the straight combinations for each root sum, and then with just the unique box combinations for each root sum.

## Root Sums with Straight Combinations

"Quant" is the number of straight combinations for each root sum.

Root SumQuantStraight Combinations
0100000
111,111

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211,111

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311,111

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411,111

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511,111

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611,111

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711,111

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811,111

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911,111

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## Root Sums with Box Combinations

"Quant" is the number of box combinations for each root sum.

Root SumQuantBox Combinations
0100000
122300001, 00019, 00028, 00037, 00046, 00055, 00118, 00127, 00136, 00145, 00199, 00226, 00235, 00244, 00289, 00334, 00379, 00388, 00469, 00478, 00559, 00568, 00577, 00667, 01117, 01126, 01135, 01144, 01189, 01225, 01234, 01279, 01288, 01333, 01369, 01378, 01459, 01468, 01477, 01558, 01567, 01666, 01999, 02224, 02233, 02269, 02278, 02359, 02368, 02377, 02449, 02458, 02467, 02557, 02566, 02899, 03349, 03358, 03367, 03448, 03457, 03466, 03556, 03799, 03889, 04447, 04456, 04555, 04699, 04789, 04888, 05599, 05689, 05779, 05788, 06679, 06688, 06778, 07777, 11116, 11125, 11134, 11179, 11188, 11224, 11233, 11269, 11278, 11359, 11368, 11377, 11449, 11458, 11467, 11557, 11566, 11899, 12223, 12259, 12268, 12277, 12349, 12358, 12367, 12448, 12457, 12466, 12556, 12799, 12889, 13339, 13348, 13357, 13366, 13447, 13456, 13555, 13699, 13789, 13888, 14446, 14455, 14599, 14689, 14779, 14788, 15589, 15679, 15688, 15778, 16669, 16678, 16777, 19999, 22222, 22249, 22258, 22267, 22339, 22348, 22357, 22366, 22447, 22456, 22555, 22699, 22789, 22888, 23338, 23347, 23356, 23446, 23455, 23599, 23689, 23779, 23788, 24445, 24499, 24589, 24679, 24688, 24778, 25579, 25588, 25669, 25678, 25777, 26668, 26677, 28999, 33337, 33346, 33355, 33445, 33499, 33589, 33679, 33688, 33778, 34444, 34489, 34579, 34588, 34669, 34678, 34777, 35569, 35578, 35668, 35677, 36667, 37999, 38899, 44479, 44488, 44569, 44578, 44668, 44677, 45559, 45568, 45577, 45667, 46666, 46999, 47899, 48889, 55558, 55567, 55666, 55999, 56899, 57799, 57889, 58888, 66799, 66889, 67789, 67888, 77779, 77788
222300002, 00011, 00029, 00038, 00047, 00056, 00119, 00128, 00137, 00146, 00155, 00227, 00236, 00245, 00299, 00335, 00344, 00389, 00479, 00488, 00569, 00578, 00668, 00677, 01118, 01127, 01136, 01145, 01199, 01226, 01235, 01244, 01289, 01334, 01379, 01388, 01469, 01478, 01559, 01568, 01577, 01667, 02225, 02234, 02279, 02288, 02333, 02369, 02378, 02459, 02468, 02477, 02558, 02567, 02666, 02999, 03359, 03368, 03377, 03449, 03458, 03467, 03557, 03566, 03899, 04448, 04457, 04466, 04556, 04799, 04889, 05555, 05699, 05789, 05888, 06689, 06779, 06788, 07778, 11117, 11126, 11135, 11144, 11189, 11225, 11234, 11279, 11288, 11333, 11369, 11378, 11459, 11468, 11477, 11558, 11567, 11666, 11999, 12224, 12233, 12269, 12278, 12359, 12368, 12377, 12449, 12458, 12467, 12557, 12566, 12899, 13349, 13358, 13367, 13448, 13457, 13466, 13556, 13799, 13889, 14447, 14456, 14555, 14699, 14789, 14888, 15599, 15689, 15779, 15788, 16679, 16688, 16778, 17777, 22223, 22259, 22268, 22277, 22349, 22358, 22367, 22448, 22457, 22466, 22556, 22799, 22889, 23339, 23348, 23357, 23366, 23447, 23456, 23555, 23699, 23789, 23888, 24446, 24455, 24599, 24689, 24779, 24788, 25589, 25679, 25688, 25778, 26669, 26678, 26777, 29999, 33338, 33347, 33356, 33446, 33455, 33599, 33689, 33779, 33788, 34445, 34499, 34589, 34679, 34688, 34778, 35579, 35588, 35669, 35678, 35777, 36668, 36677, 38999, 44444, 44489, 44579, 44588, 44669, 44678, 44777, 45569, 45578, 45668, 45677, 46667, 47999, 48899, 55559, 55568, 55577, 55667, 56666, 56999, 57899, 58889, 66899, 67799, 67889, 68888, 77789, 77888
322300003, 00012, 00039, 00048, 00057, 00066, 00111, 00129, 00138, 00147, 00156, 00228, 00237, 00246, 00255, 00336, 00345, 00399, 00444, 00489, 00579, 00588, 00669, 00678, 00777, 01119, 01128, 01137, 01146, 01155, 01227, 01236, 01245, 01299, 01335, 01344, 01389, 01479, 01488, 01569, 01578, 01668, 01677, 02226, 02235, 02244, 02289, 02334, 02379, 02388, 02469, 02478, 02559, 02568, 02577, 02667, 03333, 03369, 03378, 03459, 03468, 03477, 03558, 03567, 03666, 03999, 04449, 04458, 04467, 04557, 04566, 04899, 05556, 05799, 05889, 06699, 06789, 06888, 07779, 07788, 11118, 11127, 11136, 11145, 11199, 11226, 11235, 11244, 11289, 11334, 11379, 11388, 11469, 11478, 11559, 11568, 11577, 11667, 12225, 12234, 12279, 12288, 12333, 12369, 12378, 12459, 12468, 12477, 12558, 12567, 12666, 12999, 13359, 13368, 13377, 13449, 13458, 13467, 13557, 13566, 13899, 14448, 14457, 14466, 14556, 14799, 14889, 15555, 15699, 15789, 15888, 16689, 16779, 16788, 17778, 22224, 22233, 22269, 22278, 22359, 22368, 22377, 22449, 22458, 22467, 22557, 22566, 22899, 23349, 23358, 23367, 23448, 23457, 23466, 23556, 23799, 23889, 24447, 24456, 24555, 24699, 24789, 24888, 25599, 25689, 25779, 25788, 26679, 26688, 26778, 27777, 33339, 33348, 33357, 33366, 33447, 33456, 33555, 33699, 33789, 33888, 34446, 34455, 34599, 34689, 34779, 34788, 35589, 35679, 35688, 35778, 36669, 36678, 36777, 39999, 44445, 44499, 44589, 44679, 44688, 44778, 45579, 45588, 45669, 45678, 45777, 46668, 46677, 48999, 55569, 55578, 55668, 55677, 56667, 57999, 58899, 66666, 66999, 67899, 68889, 77799, 77889, 78888
422300004, 00013, 00022, 00049, 00058, 00067, 00112, 00139, 00148, 00157, 00166, 00229, 00238, 00247, 00256, 00337, 00346, 00355, 00445, 00499, 00589, 00679, 00688, 00778, 01111, 01129, 01138, 01147, 01156, 01228, 01237, 01246, 01255, 01336, 01345, 01399, 01444, 01489, 01579, 01588, 01669, 01678, 01777, 02227, 02236, 02245, 02299, 02335, 02344, 02389, 02479, 02488, 02569, 02578, 02668, 02677, 03334, 03379, 03388, 03469, 03478, 03559, 03568, 03577, 03667, 04459, 04468, 04477, 04558, 04567, 04666, 04999, 05557, 05566, 05899, 06799, 06889, 07789, 07888, 11119, 11128, 11137, 11146, 11155, 11227, 11236, 11245, 11299, 11335, 11344, 11389, 11479, 11488, 11569, 11578, 11668, 11677, 12226, 12235, 12244, 12289, 12334, 12379, 12388, 12469, 12478, 12559, 12568, 12577, 12667, 13333, 13369, 13378, 13459, 13468, 13477, 13558, 13567, 13666, 13999, 14449, 14458, 14467, 14557, 14566, 14899, 15556, 15799, 15889, 16699, 16789, 16888, 17779, 17788, 22225, 22234, 22279, 22288, 22333, 22369, 22378, 22459, 22468, 22477, 22558, 22567, 22666, 22999, 23359, 23368, 23377, 23449, 23458, 23467, 23557, 23566, 23899, 24448, 24457, 24466, 24556, 24799, 24889, 25555, 25699, 25789, 25888, 26689, 26779, 26788, 27778, 33349, 33358, 33367, 33448, 33457, 33466, 33556, 33799, 33889, 34447, 34456, 34555, 34699, 34789, 34888, 35599, 35689, 35779, 35788, 36679, 36688, 36778, 37777, 44446, 44455, 44599, 44689, 44779, 44788, 45589, 45679, 45688, 45778, 46669, 46678, 46777, 49999, 55579, 55588, 55669, 55678, 55777, 56668, 56677, 58999, 66667, 67999, 68899, 77899, 78889, 88888
522300005, 00014, 00023, 00059, 00068, 00077, 00113, 00122, 00149, 00158, 00167, 00239, 00248, 00257, 00266, 00338, 00347, 00356, 00446, 00455, 00599, 00689, 00779, 00788, 01112, 01139, 01148, 01157, 01166, 01229, 01238, 01247, 01256, 01337, 01346, 01355, 01445, 01499, 01589, 01679, 01688, 01778, 02228, 02237, 02246, 02255, 02336, 02345, 02399, 02444, 02489, 02579, 02588, 02669, 02678, 02777, 03335, 03344, 03389, 03479, 03488, 03569, 03578, 03668, 03677, 04469, 04478, 04559, 04568, 04577, 04667, 05558, 05567, 05666, 05999, 06899, 07799, 07889, 08888, 11111, 11129, 11138, 11147, 11156, 11228, 11237, 11246, 11255, 11336, 11345, 11399, 11444, 11489, 11579, 11588, 11669, 11678, 11777, 12227, 12236, 12245, 12299, 12335, 12344, 12389, 12479, 12488, 12569, 12578, 12668, 12677, 13334, 13379, 13388, 13469, 13478, 13559, 13568, 13577, 13667, 14459, 14468, 14477, 14558, 14567, 14666, 14999, 15557, 15566, 15899, 16799, 16889, 17789, 17888, 22226, 22235, 22244, 22289, 22334, 22379, 22388, 22469, 22478, 22559, 22568, 22577, 22667, 23333, 23369, 23378, 23459, 23468, 23477, 23558, 23567, 23666, 23999, 24449, 24458, 24467, 24557, 24566, 24899, 25556, 25799, 25889, 26699, 26789, 26888, 27779, 27788, 33359, 33368, 33377, 33449, 33458, 33467, 33557, 33566, 33899, 34448, 34457, 34466, 34556, 34799, 34889, 35555, 35699, 35789, 35888, 36689, 36779, 36788, 37778, 44447, 44456, 44555, 44699, 44789, 44888, 45599, 45689, 45779, 45788, 46679, 46688, 46778, 47777, 55589, 55679, 55688, 55778, 56669, 56678, 56777, 59999, 66668, 66677, 68999, 77999, 78899, 88889
622300006, 00015, 00024, 00033, 00069, 00078, 00114, 00123, 00159, 00168, 00177, 00222, 00249, 00258, 00267, 00339, 00348, 00357, 00366, 00447, 00456, 00555, 00699, 00789, 00888, 01113, 01122, 01149, 01158, 01167, 01239, 01248, 01257, 01266, 01338, 01347, 01356, 01446, 01455, 01599, 01689, 01779, 01788, 02229, 02238, 02247, 02256, 02337, 02346, 02355, 02445, 02499, 02589, 02679, 02688, 02778, 03336, 03345, 03399, 03444, 03489, 03579, 03588, 03669, 03678, 03777, 04479, 04488, 04569, 04578, 04668, 04677, 05559, 05568, 05577, 05667, 06666, 06999, 07899, 08889, 11112, 11139, 11148, 11157, 11166, 11229, 11238, 11247, 11256, 11337, 11346, 11355, 11445, 11499, 11589, 11679, 11688, 11778, 12228, 12237, 12246, 12255, 12336, 12345, 12399, 12444, 12489, 12579, 12588, 12669, 12678, 12777, 13335, 13344, 13389, 13479, 13488, 13569, 13578, 13668, 13677, 14469, 14478, 14559, 14568, 14577, 14667, 15558, 15567, 15666, 15999, 16899, 17799, 17889, 18888, 22227, 22236, 22245, 22299, 22335, 22344, 22389, 22479, 22488, 22569, 22578, 22668, 22677, 23334, 23379, 23388, 23469, 23478, 23559, 23568, 23577, 23667, 24459, 24468, 24477, 24558, 24567, 24666, 24999, 25557, 25566, 25899, 26799, 26889, 27789, 27888, 33333, 33369, 33378, 33459, 33468, 33477, 33558, 33567, 33666, 33999, 34449, 34458, 34467, 34557, 34566, 34899, 35556, 35799, 35889, 36699, 36789, 36888, 37779, 37788, 44448, 44457, 44466, 44556, 44799, 44889, 45555, 45699, 45789, 45888, 46689, 46779, 46788, 47778, 55599, 55689, 55779, 55788, 56679, 56688, 56778, 57777, 66669, 66678, 66777, 69999, 78999, 88899
722300007, 00016, 00025, 00034, 00079, 00088, 00115, 00124, 00133, 00169, 00178, 00223, 00259, 00268, 00277, 00349, 00358, 00367, 00448, 00457, 00466, 00556, 00799, 00889, 01114, 01123, 01159, 01168, 01177, 01222, 01249, 01258, 01267, 01339, 01348, 01357, 01366, 01447, 01456, 01555, 01699, 01789, 01888, 02239, 02248, 02257, 02266, 02338, 02347, 02356, 02446, 02455, 02599, 02689, 02779, 02788, 03337, 03346, 03355, 03445, 03499, 03589, 03679, 03688, 03778, 04444, 04489, 04579, 04588, 04669, 04678, 04777, 05569, 05578, 05668, 05677, 06667, 07999, 08899, 11113, 11122, 11149, 11158, 11167, 11239, 11248, 11257, 11266, 11338, 11347, 11356, 11446, 11455, 11599, 11689, 11779, 11788, 12229, 12238, 12247, 12256, 12337, 12346, 12355, 12445, 12499, 12589, 12679, 12688, 12778, 13336, 13345, 13399, 13444, 13489, 13579, 13588, 13669, 13678, 13777, 14479, 14488, 14569, 14578, 14668, 14677, 15559, 15568, 15577, 15667, 16666, 16999, 17899, 18889, 22228, 22237, 22246, 22255, 22336, 22345, 22399, 22444, 22489, 22579, 22588, 22669, 22678, 22777, 23335, 23344, 23389, 23479, 23488, 23569, 23578, 23668, 23677, 24469, 24478, 24559, 24568, 24577, 24667, 25558, 25567, 25666, 25999, 26899, 27799, 27889, 28888, 33334, 33379, 33388, 33469, 33478, 33559, 33568, 33577, 33667, 34459, 34468, 34477, 34558, 34567, 34666, 34999, 35557, 35566, 35899, 36799, 36889, 37789, 37888, 44449, 44458, 44467, 44557, 44566, 44899, 45556, 45799, 45889, 46699, 46789, 46888, 47779, 47788, 55555, 55699, 55789, 55888, 56689, 56779, 56788, 57778, 66679, 66688, 66778, 67777, 79999, 88999
822300008, 00017, 00026, 00035, 00044, 00089, 00116, 00125, 00134, 00179, 00188, 00224, 00233, 00269, 00278, 00359, 00368, 00377, 00449, 00458, 00467, 00557, 00566, 00899, 01115, 01124, 01133, 01169, 01178, 01223, 01259, 01268, 01277, 01349, 01358, 01367, 01448, 01457, 01466, 01556, 01799, 01889, 02222, 02249, 02258, 02267, 02339, 02348, 02357, 02366, 02447, 02456, 02555, 02699, 02789, 02888, 03338, 03347, 03356, 03446, 03455, 03599, 03689, 03779, 03788, 04445, 04499, 04589, 04679, 04688, 04778, 05579, 05588, 05669, 05678, 05777, 06668, 06677, 08999, 11114, 11123, 11159, 11168, 11177, 11222, 11249, 11258, 11267, 11339, 11348, 11357, 11366, 11447, 11456, 11555, 11699, 11789, 11888, 12239, 12248, 12257, 12266, 12338, 12347, 12356, 12446, 12455, 12599, 12689, 12779, 12788, 13337, 13346, 13355, 13445, 13499, 13589, 13679, 13688, 13778, 14444, 14489, 14579, 14588, 14669, 14678, 14777, 15569, 15578, 15668, 15677, 16667, 17999, 18899, 22229, 22238, 22247, 22256, 22337, 22346, 22355, 22445, 22499, 22589, 22679, 22688, 22778, 23336, 23345, 23399, 23444, 23489, 23579, 23588, 23669, 23678, 23777, 24479, 24488, 24569, 24578, 24668, 24677, 25559, 25568, 25577, 25667, 26666, 26999, 27899, 28889, 33335, 33344, 33389, 33479, 33488, 33569, 33578, 33668, 33677, 34469, 34478, 34559, 34568, 34577, 34667, 35558, 35567, 35666, 35999, 36899, 37799, 37889, 38888, 44459, 44468, 44477, 44558, 44567, 44666, 44999, 45557, 45566, 45899, 46799, 46889, 47789, 47888, 55556, 55799, 55889, 56699, 56789, 56888, 57779, 57788, 66689, 66779, 66788, 67778, 77777, 89999
922300009, 00018, 00027, 00036, 00045, 00099, 00117, 00126, 00135, 00144, 00189, 00225, 00234, 00279, 00288, 00333, 00369, 00378, 00459, 00468, 00477, 00558, 00567, 00666, 00999, 01116, 01125, 01134, 01179, 01188, 01224, 01233, 01269, 01278, 01359, 01368, 01377, 01449, 01458, 01467, 01557, 01566, 01899, 02223, 02259, 02268, 02277, 02349, 02358, 02367, 02448, 02457, 02466, 02556, 02799, 02889, 03339, 03348, 03357, 03366, 03447, 03456, 03555, 03699, 03789, 03888, 04446, 04455, 04599, 04689, 04779, 04788, 05589, 05679, 05688, 05778, 06669, 06678, 06777, 09999, 11115, 11124, 11133, 11169, 11178, 11223, 11259, 11268, 11277, 11349, 11358, 11367, 11448, 11457, 11466, 11556, 11799, 11889, 12222, 12249, 12258, 12267, 12339, 12348, 12357, 12366, 12447, 12456, 12555, 12699, 12789, 12888, 13338, 13347, 13356, 13446, 13455, 13599, 13689, 13779, 13788, 14445, 14499, 14589, 14679, 14688, 14778, 15579, 15588, 15669, 15678, 15777, 16668, 16677, 18999, 22239, 22248, 22257, 22266, 22338, 22347, 22356, 22446, 22455, 22599, 22689, 22779, 22788, 23337, 23346, 23355, 23445, 23499, 23589, 23679, 23688, 23778, 24444, 24489, 24579, 24588, 24669, 24678, 24777, 25569, 25578, 25668, 25677, 26667, 27999, 28899, 33336, 33345, 33399, 33444, 33489, 33579, 33588, 33669, 33678, 33777, 34479, 34488, 34569, 34578, 34668, 34677, 35559, 35568, 35577, 35667, 36666, 36999, 37899, 38889, 44469, 44478, 44559, 44568, 44577, 44667, 45558, 45567, 45666, 45999, 46899, 47799, 47889, 48888, 55557, 55566, 55899, 56799, 56889, 57789, 57888, 66699, 66789, 66888, 67779, 67788, 77778, 99999

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## Odds of Root Sum Being Drawn

The odds below reflect the approximate odds of that a particular root sum will be drawn during any given Quinto drawing.

Root SumOdds of Root Sum Being Drawn
01 in 100,000
11 in 9.0001
21 in 9.0001
31 in 9.0001
41 in 9.0001
51 in 9.0001
61 in 9.0001
71 in 9.0001
81 in 9.0001
91 in 9.0001

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