Study 8H21   Main

# Companion Hand HCP Tables

by Richard Pavlicek

After looking at your hand, have you ever wondered what is the chance that partner has ‘X’ HCP? Or a particular HCP range? This page will provide the answer. On the bar below, click on the number of your HCP to jump to the appropriate table. Find your specific high-card holding in the first column, then columns to the right show the probability of each HCP total for partner (or any other hand).

 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37

HCP probabilities are complex and cannot be determined just by the number of missing points. Instead it depends on the specific composition of the outstanding high cards. (Shape of the hand is irrelevant, as is the suit or suits containing the high cards.) As an extreme example, if you have 16+ HCP including four kings and four jacks, the probability of partner having 7 HCP (or any odd number) is zero.

Probabilities are shown to the nearest 10 thousandth; i.e., the numerator of a fraction with the denominator 10,000. The most likely total on each line is tinted gold. Cases shown as 0 are possible but rare (rounding to zero). Impossible cases are grayed out. To find the probability of a HCP range, simply add the values for each number in that range.

Where multiple compositions exist, the line labeled ‘Blind’ shows the expectation when the actual high cards are unknown; i.e., all you know is one hand’s HCP total. This is not just an average of the other values but properly weights each composition by its chance of occurring. Besides providing a generic answer, this would be useful for system designers, e.g., to tweak bidding structures by frequency; and hey, it also works great if you’re truly blind, using a seeing-eye dog to count your points.

0 HCP012345678910111213141516171819202122232425262728293031323334353637
171739781372213304555887198248949239048397446285023832781921257845251363100000000

1 HCP012345678910111213141516171819202122232425262728293031323334353637
J3102353981652583754996327578469039168838047055854623482501701106839211152100000000

2 HCP012345678910111213141516171819202122232425262728293031323334353637
Blind413306411819429241854567679187391290986277266554342331222114894573217942100000000
Q31328601171922894155506757938799179118667766635444223102191469255311784210000000
JJ613317011919629742253967978886490690585676666754242431522415096593318942100000000

3 HCP012345678910111213141516171819202122232425262728293031323334353637
Blind617357613922132846359271782989892090284273962450238227719212678462513631000000000
K3133269128213323456594725840912938916852748627499378271185119734223115210000000
QJ61936791442243294665937118268939128958397356225043842791951298048271473110000000
JJJ1312488614322934046857273280688090389482272963049838928320113184512815841100000000

4 HCP0123456789101112131415161718192021222324252627282930313233343536
Blind72041891582493645066377638669239308958197055844583422411631046236191042100000000
A3133272137228350494641779895957969930842721587452328227147905228146310000000
KJ619428915625036650663676686692292989581870558545834224216410463361994210000000
QQ6264686170265360501655755844919925875809707579459348246167109663821115210000000
QJJ1324451051722563725206267498568999028788076915844643482501741126941221263100000000
JJJJ258686182257395506601799799906886887777696594452358253181112744324136311000000

 Study 8H21   Main Top   Companion Hand HCP Tables

5 HCP01234567891011121314151617181920212223242526272829303132333435
Blind1025511051852844055546868038949399288767886675404163052101398751281573110000000
AJ6194295166268400546687819920958957901801674542410293200128774423115210000000
KQ62652101183288407550691805894939929874787667539416305210139875128157310000000
KJJ1324571121882884135576738078839289138737786625434183092141458954301684210000000
QQJ1336521112102963965636997728709329058457816645344233152181479656321894210000000
QJJJ25216413419828842457464379987489888686377064455142431522315697593619105210000000

6 HCP012345678910111213141516171819202122232425262728293031323334
Blind123160123213320447603732842922951921853754625497375268181117714022115210000000
AQ626521081983074415987438579489769468757666304933682561701076334188421000000
AJJ13245712419531444959972686093695394286675962750036926217711066372094210000000
KK6265911720231745160273885493296193386175762749537026317611267382010421000000
KQJ133664128221329450604730834911938908844750622497379274185122754324126210000000
KJJJ252186128230319471600704851886934885856729625501380278189128764725136310000000
QQQ134869112243363420575784830843943940807722646500368280196123784725137311000000
QQJJ254359150251319438635722786902934872819755614493390284192131844728157321000000
QJJJJ4611215022931749261764387486689886185571860152238028519814082513115842100000

7 HCP0123456789101112131415161718192021222324252627282930313233
Blind153771142243358493653780882948960912830717582452333232152955631168311000000
AK6265912321734149065179591198599394785472858444532021613882462412521000000
AQJ133664140237349494654781885965964920840721581451331226149925329157310000000
AJJJ252186150225367497652753909932948923827715580462327235155955731167410000000
KKJ133676144240363500654774884942956905828712583453334234154975732168311000000
KQQ1348811382543844926357918759189429068127075844533372401591016134189421000000
KQJJ25438016126136649766175786292293487881570957545834324416210764362010521000000
KJJJJ461501123083175676087498948719498408536616004553472481671146342201152100000
QQQJ25647014430938743366184180385597990274870461244633325817210569402111621000000
QQJJJ46377520328233349971471081593992182880472455745935925316711872392413631000000

 Study 8H21   Main Top   Companion Hand HCP Tables

8 HCP01234567891011121314151617181920212223242526272829303132
Blind19448316427640054070482791796796289879867653740729219812777442312521000000
AA6265913023336553570585897510371024955839688534389265169102562914621000000
AKJ1336761562573925447058329399919769168116805354042841901197039209421000000
AQQ13488115028040453070084791496897790279768053940229219612375422211521000000
AQJJ25438018227239354971080691497694289480267553141429619813079452412521000000
AJJJJ461501502714235417057669768939578937866705344282842141338248261463100000
KKQ13489316427441255069882591495995389079167353840829520313079462412621000000
KKJJ254310217128840255769980791194394786979866254241030220613584482713731000000
KQQJ25649117130842552369683388292194087577067054041230421513887532915731100000
KQJJJ463711219230839255871476889992192783879666053242131021714195533116842100000
QQQQ258696127348506438609980910731952101969656961945325321317386453619642100000
QQQJJ467564203377382458780858755899100983169770256538930823814590623417952100000
QQJJJJ84128256298341596780650888962888777810680493437327222144108603321105210000

9 HCP012345678910111213141516171819202122232425262728293031
Blind235398189314445590757872948982959874762632490363254168104613417841100000
AAJ133676168273421597758898999103899792078863448534623214687472411521000000
AKQ134893176300442595756886965100397288877063448735624716097563014731000000
AKJJ2543102193298445597758858969984957881768631487366249166102603216831000000
AQQJ256491192335440576767877917981959860756638489362262170106643618941100000
AQJJJ46371122292974456077628119589709128697626274833822591741146737201042100000
KKK1348105190303448602759874955980960875763627491362253167103603317831000000
KKQJ25641121983244625947488559329569388527526294933682641791126838201052100000
KKJJJ46371501813614146437148519249429328267756035103642761771197240231162100000
KQQQ25861181703465155586889129498839138977365995073832611811217141231152100000
KQQJJ46751012183674515587728538819289378297316354943732741911187645241263100000
KQJJJJ84192192383383664733773949900925780794592499384280191122854327137311000
QQQQJ4611279166467511387748108778770410699675605756263722072141556340341443200000
QQQJJJ84646429842634152592879871598610117246757104953392942171187956271484110000

10 HCP0123456789101112131415161718192021222324252627282930
Blind28631142173544936428099159779929478477235854423192171398347251262100000
AAQ13489318832647265082294710221047987877743583431301197119683617831000000
AAJJ254310221430948765480793110201028963885731583438307202125743820941000000
AKK134810520233048765481893610091023970867731584436309204127744020941000000
AKQJ25641122193504936468109129779999448477245874403202181388347241252100000
AKJJJ463715021835049465580587110079559438367295784443312161478651261462100000
AQQQ25861181913895295937859739489319678616905824623182191488849281363100000
AQQJJ46751012563834676338388799229989258147205964373292341469155291473100000
AQJJJJ841922563195116648077941036925888845719576437357219155995631169321000
KKKJ25641342243554986578039019669739388327215784503222251448951271363100000
KKQQ25861392133605336467709059669539158347105824503282281529354301573100000
KKQJJ46751392343834996447978769459479208067185804523302371569659321784110000
KKJJJJ842561285113418236379588889628987827615274943082611451105934198511000
KQQQJ4611211720843655055076797991085693586366456547833922716410559351994210000
KQQJJJ846412827742645161785683588893792876470659744633724816999683720105210000
QQQQJJ84128432565964393549771119592764120583043363660827218422312741403193410000
QQQJJJJ147106426426269673107662574011109585887057123973062881908975501912731100

 Study 8H21   Main Top   Companion Hand HCP Tables

11 HCP01234567891011121314151617181920212223242526272829
Blind3475132247397545697861957100399693281567853539427618211365351883100000
AAK13481052143565267168841005106610629778506925263762511569048231041000000
AAQJ25641122403775247148729711031103894583269252938626617010058291462100000
AAJJJ46371502563395736938599501044100092985266753939227217410862301773100000
AKKJ25641342463815457088679571020100693881968353339127417710962331673100000
AKQQ258613923440356469084697199598493181567353739727618511566361883100000
AKQJJ467513927139954269886592099298691080368053939328818911970392094110000
AKJJJJ84256192447511738827880106088895377070351541129718413370452012521000
AQQQJ461121172454785466118811003898939968794634555418274196130734124115210000
AQQJJJ84641283414054937089068439491011870772689550384304206123794724116210000
KKKQ2586161256391561712849935983973918801670534404284190121724020104210000
KKKJJ4675176249426527733822938959971903790679528412283202121784123105210000
KKQQJ46112154250432585668820939964931897793663538409292201133794525135210000
KKQJJJ8464192256469500726822897949935900749696523419290215132835026146310000
KQQQQ46150159177476714569659110310627228319676544174443591771141015420149310000
KQQQJJ841281062775365435458931008838854969796594548444292200150884930167320000
KQQJJJJ14721331949340474091877392594191267671254439930622614682632916841100
QQQQJJJ1471064266952694041298995370958131158835974954116219023389254427434100

12 HCP012345678910111213141516171819202122232425262728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0
KQQQJJJ1471061063876284715821066958756895100068454454639924418213969422613531000
QQQQJJJJ2546956956251668625218131113112433978943976423323339195219440

 Study 8H21   Main Top   Companion Hand HCP Tables

13 HCP0123456789101112131415161718192021222324252627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0
KKKKJ46112229333502642835935100998295785473257543731221213579432211420000
KKKQQ46150234314484705821896971100594384471457644432221513785482412521000
KKKQJJ8412823431954364181989897696593784769858744133121415086522614631000
KKKJJJJ1474261068292691224491130966211706528115384553402061756972182235010
KKQQQJ841921922805857576828341068100082382676656942333623614594552915731000
KKQQJJJ14710621334762857575394595791989187466459444833822116398543317832000
KQQQQJJ14721367319829649350102913446925851096869341404481236881198624121351100
KQQQJJJJ25417452169531373012517897109831008516546546337200175126493923104310

14 HCP01234567891011121314151617181920212223242526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0
AQQQJJJJ25417469552141793812516408741147755526596481216204155683929133410
KKKKQ461502713825287198869921007985924835680524383275180110613316731000
KKKKJJ841282983416106379538881078898992761721494417261195110693419831000
KKKQQJ84192256344574769834915994995900807664532401288185119734019941000
KKKQJJJ14710631930869558295584110488959557796575463943021781396648191342100
KKQQQQ8425625622660997773364711401205714635829608295263253127524530932100
KKQQQJJ14721317434773274763294311209167658547134963883152011228345241262100
KKQQJJJJ254347347799417938943953874898854566596386315180155784529137220
KQQQQJJJ25417452110084173131415128138268012816651994864731416813668101313310

 Study 8H21   Main Top   Companion Hand HCP Tables

15 HCP012345678910111213141516171819202122232425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16 HCP0123456789101112131415161718192021222324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KKKQQQJ147319308345739100384183610661054779669605462302212139834824105210
KKKQQJJJ25417434738290368094390810878648547255554553152351221004529107210
KKQQQQJJ25434710434711129433239431524854367854853315188315200454245172320
KKQQQJJJJ428278556111231879412711033635794953456414345276112104652617841

 Study 8H21   Main Top   Companion Hand HCP Tables

17 HCP01234567891011121314151617181920212223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18 HCP012345678910111213141516171819202122
Blind1142273575878199841095115911009788146294503001861055526114100
AAAAQ461502715328021001125112891216110284361541223713163261031000
AAAAJJ841282985966951076121711841291102584065139326314167331241000
AAAKK461503085638041035120012481189104284461942526114573311241000
AAAKQJ84192319600797992116811921136101583861644328516292421872100
AAAKJJJ1471064265887121096106311971111101781462147126619094452573100
AAAQQQ8425631952590698210431227115094583165342629418392502383100
AAAQQJJ14721328069578689411841150105910018445964603171681115622124100
AAAQJJJJ254521695486125199310721147973799596530255204129393911430
AAKKKJ84192383600807993111811771101999812631445297178100512182100
AAKKQQ8425638356781910041087113911019668166314493021921075526104100
AAKKQJJ1472133876177959681078115010389848076254583141981116427135100
AAKKJJJJ2546953479738341157107210031072675724406354183129682621240
AAKQQQJ147319308558929956944115211308827906654553082141216336145210
AAKQQJJJ254174347730764889105711729439638345904753352141178136159210
AAQQQQJJ2543471046951181635735148911275268798533402573081423952284320
AAQQQJJJJ42827811125566351271127163595310334564494142201041045281741
AKKKKQ842564476107769551090114810699387846404673161941156332134100
AKKKKJJ1472134935388718471172102911258708405964923102111187034156100
AKKKQQJ1473194155478109971029107010309377876404583262191327137187310
AKKKQJJJ2541745214869387891157993104290379964044036520115168491611310
AKKQQQQ147426404361875125187477712171107603535597360158136103391410410
AKKQQQJJ254347278556993943799111211228547106844853152351478145258420
AKKQQJJJJ42855655699363511121112874953749684390414212147915225881
AKQQQQJJJ42827883413114774771668119131874910263901383502203939511241
KKKKQQQ14742651041766611471164874855100386659642234224815581412313510
KKKKQQJJ2543474524179089431077874104285484359648431525715590452613520
KKKKQJJJJ428834158819861906156893949219055121
KKKQQQQJ25452131322810081415680516128112814863866654731361121416813111030
KKKQQQJJJ4282782784371271794715953127179461568452534521619086653017441
KKQQQQJJJJ70687417472381906143045613674562853804768345

 Study 8H21   Main Top   Companion Hand HCP Tables

19 HCP0123456789101112131415161718192021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KKKKQQQJ2545214863678591276107275592310227745053933172161296433191130
KKKKQQJJJ428278556318127171512716351271615953414525216276104863026841
KKKQQQQJJ4285561592781430135031863515881091207477732354521381384241381
KKKQQQJJJJ70643743717472389539531430456684684456285190190476817175

20 HCP01234567891011121314151617181920
Blind157306466735976112011901190106389069249232519810854249310
AAAAKJ841923837279351226137312891212941680459257140642592100
AAAAQQ84256383695103211301327132511089606944472881517233114100
AAAAQJJ14721338782985111771381113412019396455102791618934165100
AAAAJJJJ254695695625166884413111335616894436258233585219440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AKKKKQQ147426617686848109611891128971828684539359217128763916510
AKKKKQJJ254347625625998953123110331037774728505375224142784219620
AKKKKJJJJ4281112178722241941136774029490171
AKKKQQQJ254521486541998123199395310379086405043752461518642201130
AKKKQQJJJ428278556596115287411121033988818684549325281147993830841
AKKQQQQJJ42855615955614691112397111214646843426845331471171476481381
AKKQQQJJJJ70643787413114779531430829684684684256285190955134175
KKKKQQQQ2546956252187201668131139766413118942332383972335228391940
KKKKQQQJJ42855643731811911271953635109195368441439527619010451261781
KKKKQQJJJJ7068741986190618851367741380116345
KKKQQQQJJJ7064374371986953953188568468474119019011617175

 Study 8H21   Main Top   Companion Hand HCP Tables

21 HCP012345678910111213141516171819
Blind18535553182010571188122911881029830620421265150773614510
AAAAKQ84256447801109512711426131211158795853682039642154100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22 HCP0123456789101112131415161718
Blind21741160491011421252125611769827605423512061095221720
AAAAKK842565119081201142614941321108476547827012753185100
AAAAKQJ14731952196211401324144912161054784493314159733110310
AAAAKJJJ2541746959389381579118612461127660588303165972916410
AAAAQQQ1474265108431316122712841339971754556304177923414510
AAAAQQJJ254347452111210471162152410721003853464354200844917520
AAAAQJJJJ42883411124771906103395314304566224141121553917121
AAAKKKJ1473196289511156131813071217994778528332187873711310
AAAKKQQ14742661789911731271127711899907545513441931044416510
AAAKKQJJ25434762597310671271125611729537835493412231045321620
AAAKKJJJJ42811125561231127111121271829912425440203104828171
AAAKQQQJ254521486889127611421147121698270457837420413259221130
AAAKQQJJJ42827855611529131191127111128987985843152721255638841
AAAQQQQJJ4285561591112154963510331588843456753466112164108171381
AAAQQQJJJJ706437174743795316689536849126841903321901768175
AAKKKKQ14742672395510981193122311869887545273582201225519510
AAKKKKJJ254347799834119110721311107210227245623542331296026720
AAKKKQQJ254521660854109212111172112793374856238622913473301230
AAKKKQJJJ428278834755119110331271106789879852741621616860431241
AAKKQQQQ25469562556612061489958853114685341736031814253411940
AAKKQQQJJ42855643787412711112953118197768456241824614795341781
AAKKQQJJJJ7068748741112953119111816949125034182371908234345
AAKQQQQJJJ7064371311158847771517729222287316271429517751175
AKKKKQQQ2546957996358741350130595378977262041423913886522040
AKKKKQQJJ42855671563511521112122695392268461941426114794522181
AKKKKQJJJJ70613112025225817401168541194515
AKKKQQQQJ4288344773571311166874958011911026350277390220513939121
AKKKQQQJJJ706437437675154995382910571057684484484256190996517175
AKKQQQQJJJJ1142135020253522113105748496916119412922
KKKKQQQQJJ70687423817471906456143013672854563806847345
KKKKQQQJJJJ11426752700140921139696462586522

 Study 8H21   Main Top   Companion Hand HCP Tables

23 HCP01234567891011121314151617
Blind2534766861012122913061273114691868146428015476311130
AAAAKKJ14731962810571251149614551232997651403215953912310
AAAAKQQ147426617100513361358142112399266914202271174716510
AAAAKQJJ2543476251147110214301425109210226634192691175822620
AAAAKJJJJ4281112834953190679414309884946221771557812171
AAAAQQQJ2545214861062141510971380128181372347323515468231130
AAAAQQJJJ42827855614307941350158879410917323453541386542841
AAAKKKQ147426723106212611348131411749326794552611375819510
AAAKKKJJ254347799100812261335127611678987184372881466627720
AAAKKQQJ2545216601028123112711256114290367849127916082311230
AAAKKQJJJ4282788341033107213501191114684375345129419469471241
AAAKQQQQ254695625740145014009381096111261838936618865421940
AAAKQQQJJ42855643711521311103311911216853628553294168116381781
AAAKQQJJJJ70687413116751430119110577987984842372856551345
AAAQQQQJJJ70643717471390238143016374564568742854720768175
AAKKKKQJ254521834993115211911231113690867246331118199391230
AAKKKKJJJ428278111263515097941588774114650759424223386521741
AAKKKQQQ254695799809111713651191100389770648631618798532040
AAKKKQQJJ4285567159131191119111461102843697496338181116562181
AAKKKQJJJJ70613114371588715154481892273143739914217717515
AAKKQQQQJ428834477635150914307049431216666314379285864339121
AAKKQQQJJJ7064374371112135095394312958086175323701901298217175
AAKQQQQJJJJ1142202513501057211335216196948412919422
AKKKKQQQJ4288347555561072146411918187877545493501961167343121
AKKKKQQJJJ706437874477154982914306841057484684285256999534175
AKKKQQQQJJ7068742384371787154434271513998261423423991461747345
AKKKQQQJJJJ11426756752025352105710571057484484484161194656522
KKKKQQQQJJJ11426752700140921139696462586522

24 HCP012345678910111213141516
Blind29654877811181313135912801101844597377212108461751
AAAAKKQ147426723116814231503147211758635603041516019510
AAAAKKJJ254347799118112611598134511629035333461627128720
AAAAKQQJ2545216601201137013301445111283361833318691321230
AAAAKQJJJ428278834131195316681271988102649438422078511241
AAAAQQQQ254695625913169313111023134989445241723377421940
AAAAQQQJJ4285564371430135095315881091684732354190138421781
AAAAQQJJJJ70687417472381906143045613674562853804768345
AAAKKKK147426829122414151439130211178576073581787222510
AAAKKKQJ25452183411671291135512711111833606384210108401230
AAAKKKJJJ4282781112913139012711271109179867632827295561741
AAAKKQQQ2546957999831360138011811062877591396235110542040
AAAKKQQJJ42855671511911231127112261091798620429216138602181
AAAKKQJJJJ7061311874115214301067116068477930428516034515
AAAKQQQQJ42883447791317081191818122610264293813501214739121
AAAKQQQJJJ70643743715491152953129511716845985321901609917175
AAAQQQQJJJJ11422700675211314096469696525822
AAKKKKQQ25469597310521132125112411111832572388263146652140
AAKKKKQJJ4285569939531271111212951022856573420259151782581
AAKKKKJJJJ7061747230323621653836319685
AAKKKQQQJ4288347558341271138510679678566304162741517843121
AAKKKQQJJJ706437874913135010671181104674266541830412911234175
AAKKQQQQJJ70687423887418271181466118111974182754182243447345
AAKKQQQJJJJ114267513501350704105714095146464843231291296522
AKKKKQQQQ4281112953318868190614304145159536221559213878171
AKKKKQQQJJ7068746754771424143010576848576844842851659565345
AKKKKQQJJJJ1142135023782113154196935512922
AKKKQQQQJJJ11426756752378105710571541484484355656522
KKKKQQQQJJJJ18184109308290487

 Study 8H21   Main Top   Companion Hand HCP Tables

25 HCP0123456789101112131415
Blind34563588312311395139712661037760499296155672571
AAAAKKK147426829133115781661147311077444091937522510
AAAAKKQJ25452183413401430151914151042772461240117411230
AAAAKKJJJ428278111211911271174711121171767427311104601741
AAAAKQQQ25469579911571603139512761131727479284122552040
AAAAKQQJJ4285567151469127113501464922787533250160642181
AAAAKQJJJJ7061311131171521448291026102625642714251515
AAAAQQQQJ42883447711911906953109114306223954141555139121
AAAAQQQJJJ7064374371986953953188568468474119019011617175
AAAKKKKJ254521100813061454139512461036767528284137491330
AAAKKKQQ25469597312261375137012411041761500315158662140
AAAKKKQJJ42855699312311311135012161046721553306172822581
AAAKKKJJJJ70617474371866953140992273164619030217685
AAAKKQQQJ428834755111214691305110210367894963511858243121
AAAKKQQJJJ7064378741350115213051171104666559835116012934175
AAAKQQQQJJ7068742381311186681882913998262564373025147345
AAAKQQQJJJJ11426752025675105714091057484646484651946522
AAKKKKQQJ42883410331033119112601216103573249734022811247121
AAKKKKQJJJ70643713117151588818154473192239943717714251175
AAKKKQQQQ428111295359612261747109160782073231114014278171
AAKKKQQQJJ7068746759131464130593298078955135124311265345
AAKKKQQJJJJ11421350675170270414098666756463232916512922
AAKKQQQQJJJ11426751350205570435215709981613234521296522
AKKKKQQQQJ7061311715114131121441026142715102642751114142515
AKKKKQQQJJJ11426756753522025105710574841057484484194161656522
AKKKQQQQJJJJ1818102730821541154167822687

26 HCP01234567891011121314
Blind405737100013521471141412279606564052229939111
AAAAKKKJ25452110081479159316631345982627316146491330
AAAAKKQQ2546959731400161814891345982615367171672140
AAAAKKQJJ4285569931509135015881295912700354194862581
AAAAKKJJJJ706174787414301906694136750338028534685
AAAAKQQQJ428834755139016681226129510265884292208643121
AAAAKQQJJJ70643787417879531544139968482639919014634175
AAAAQQQQJJ70687423817471906456143013672854563806847345
AAAAQQQJJJJ11426752700140921139696462586522
AAAKKKKQ25469511471469149413701171970688427210782240
AAAKKKKJJ428556127112711549127112409127014402201043081
AAAKKKQQJ4288341033131113901340117197065443126311647121
AAAKKKQJJJ7064371311115213901295117197059853220716051175
AAAKKQQQQ42811129538741583158891279985646618714678171
AAAKKQQQJJ7068746751350150411811046102766541832112965345
AAAKKQQJJJJ114213501350102714091057102748464622612912922
AAAKQQQQJJJ114267520251732352105715414841615491946522
AAKKKKQQQ4281112123195310671409128491259942129519082171
AAKKKKQQJJ706874111295313401181122891265641831019082345
AAKKKKQJJJJ1142202524072275132161319422
AAKKKQQQQJ706131171555115881772731572922627177131142515
AAKKKQQQJJJ11426756751027170210578661027675484291226656522
AAKKQQQQJJJJ181820552055514205551445245287
AKKKKQQQQJJ1142135035220252113484105796919416112922
AKKKKQQQJJJJ1818102730821541154167822687

 Study 8H21   Main Top   Companion Hand HCP Tables

27 HCP012345678910111213
Blind4678451127148215471426118485154230814357172
AAAAKKKQ25469511471643173715931285836482222792240
AAAAKKKJJ428556127115491588166811608915012421083081
AAAAKKQQJ4288341033158815881419128582452129812147121
AAAAKKQJJJ7064371311158811911772103684562723717751175
AAAAKQQQQ428111295311521941143089199262223515178171
AAAAKQQQJJ706874675178715441057139982648439914665345
AAAAKQQJJJJ1142135020253522113105748496916119412922
AAAAQQQQJJJ11426752700140921139696462586522
AAAKKKKQJ4288341311150914691295110589258835415151121
AAAKKKKJJJ70643717479531866922140964673130219068175
AAAKKKQQQ42811121231123114241409110483559034319482171
AAAKKKQQJJ7068741112139013801295109490353238720782345
AAAKKKQJJJJ114220256751732105712188374845496519422
AAAKKQQQQJ706131171598818661399675866826302148142515
AAAKKQQQJJJ114267567517021380105710271027484387291656522
AAAKQQQQJJJJ1818308210271541154122667887
AAKKKKQQQJ70613111152829121614771160779523376256160515
AAKKKKQQJJJ11426751350704170286614096466752913231296522
AAKKKQQQQJJ11421350352675205515703237049984526516112922
AAKKKQQQJJJJ18181027102720555141027102751445222622687
AKKKKQQQQJJJ1818102730821541154167822687

28 HCP0123456789101112
Blind5549841277160515881404108673443721288274
AAAAKKKK25469513201886196117081151630277912340
AAAAKKKQJ4288341311178716681533114069238815551121
AAAAKKKJJJ706437174713901668163791287433220768175
AAAAKKQQQ42811121231150917821409108375839019882171
AAAAKKQQJJ7068741112182714191409119764646522482345
AAAAKKQJJJJ1142202513501057211351496948412919422
AAAAKQQQQJ70613117151424214410268571026427165142515
AAAAKQQQJJJ11426756752378105710571541484484355656522
AAAAQQQQJJJJ18184109308290487
AAAKKKKQQ42811121509158814241229102782551124286171
AAAKKKKQJJ7068741549143014941160108577950128599345
AAAKKKKJJJJ1142270027892055103325822
AAAKKKQQQJ70613111152126614941342970770501273160515
AAAKKKQQJJJ1142675135013801380121810278373873871296522
AAAKKQQQQJJ11421350352135020841027514102771012916112922
AAAKKQQQJJJJ181810272055102710271027102722645222687
AAKKKKQQQQ7061747143045692119061367380272456285685
AAKKKKQQQJJ11421350102770415121409102764648132322612922
AAKKKKQQJJJJ181820552568205596645287
AAKKKQQQQJJJ18181027102725681027102796622622687
AKKKKQQQQJJJJ284546232219313

29 HCP01234567891011
Blind64211421441172916391345974606305130415
AAAAKKKKJ428834158819861906156893949219055121
AAAAKKKQQ42811121509186617821388100755924686171
AAAAKKKQJJ706874154918661533151394057930299345
AAAAKKKJJJJ11422700675211314096469696525822
AAAAKKQQQJ706131111521702177212081017627291160515
AAAAKKQQJJJ114267513502055105715709984844521296522
AAAAKQQQQJJ1142135035220252113484105796919416112922
AAAAKQQQJJJJ1818102730821541154167822687
AAAKKKKQQJ70613111588154413591152961748399177515
AAAKKKKQJJJ114267520251057173283712185494841946522
AAAKKKQQQQ7061747143089314371637874445473285685
AAAKKKQQQJJ11421350102713801541121883774038722612922
AAAKKKQQJJJJ18182055102715411027102774022645287
AAAKKQQQQJJJ1818102720552055514514125345222687
AAKKKKQQQQJ1142202510571611350211396912935248419422
AAKKKKQQQJJJ18181027102751420551027102745251422622687
AAKKKQQQQJJJJ2845154130821479740313

 Study 8H21   Main Top   Companion Hand HCP Tables

30 HCP012345678910
Blind75113171616187516391258839438195639
AAAAKKKKQ4281112178722241941136774029490171
AAAAKKKKJJ7068741986190618851367741380116345
AAAAKKKQQJ70613111588198016371255874416177515
AAAAKKKQJJJ114267520251732140915416465491946522
AAAAKKQQQQ70617471430133019541367618490285685
AAAAKKQQQJJ11421350102720551570102799845222612922
AAAAKKQQJJJJ181820552055514205551445245287
AAAAKQQQQJJJ1818102730821541154167822687
AAAKKKKQQQ70617471866140911681143939646302685
AAAKKKKQQJJ11421350170214091350102793064629112922
AAAKKKKQJJJJ181830822568176767887
AAAKKKQQQQJ1142202510578371732154154941748419422
AAAKKKQQQJJJ18181027102715411541102774074022622687
AAAKKQQQQJJJJ2845308215417401479313
AAKKKKQQQQJJ181820555142055205545251445287
AAKKKKQQQJJJJ2845154130821479740313

31 HCP0123456789
Blind9051546181919321591113965030310214
AAAAKKKKQJ70613112025225817401168541194515
AAAAKKKKJJJ11426752700140921139696462586522
AAAAKKKQQQ70617471866184616841112663302685
AAAAKKKQQJJ11421350170220841380118971029112922
AAAAKKKQJJJJ1818308210271541154122667887
AAAAKKQQQQJ1142202510571512211396948148419422
AAAAKKQQQJJJ18181027102725681027102796622622687
AAAAKQQQQJJJJ284546232219313
AAAKKKKQQQJ11422025173212181159112183754919422
AAAKKKKQQJJJ18181027205510271541740102745222687
AAAKKKQQQQJJ1818205551410272055125322651445287
AAAKKKQQQJJJJ2845154115411541740740740313
AAKKKKQQQQJJJ2845154130821479740313

32 HCP012345678
Blind1024180620442058154890644415021
AAAAKKKKQQ7061747230323621653836319685
AAAAKKKKQJJ1142135023782113154196935512922
AAAAKKKKJJJJ18184109308290487
AAAAKKKQQQJ1142202517321893154190154919422
AAAAKKKQQJJJ18181027205520551027125345222687
AAAAKKQQQQJJ181820555142055205545251445287
AAAAKKQQQJJJJ2845154130821479740313
AAAKKKKQQQQ114227002113646740140996925822
AAAKKKKQQQJJ18182055154110271253102774045287
AAAKKKKQQJJJJ2845308222811479313
AAAKKKQQQQJJJ2845154115412281740740313

33 HCP01234567
Blind1290210322312057132669925637
AAAAKKKKQQJ1142202524072275132161319422
AAAAKKKKQJJJ1818102730821541154167822687
AAAAKKKQQQQ1142270021131321147496925822
AAAAKKKQQQJJ1818205515412055125374045287
AAAAKKKQQJJJJ2845308215417401479313
AAAAKKQQQQJJJ2845154130821479740313
AAAKKKKQQQQJ1818308215412261027154167887
AAAKKKKQQQJJJ2845154115417401541740740313

34 HCP0123456
Blind1459254625371942107938155
AAAAKKKKQQQ1142270027892055103325822
AAAAKKKKQQJJ181820552568205596645287
AAAAKKKKQJJJJ284546232219313
AAAAKKKQQQQJ1818308215411253154167887
AAAAKKKQQQJJJ2845154115412281740740313
AAAKKKKQQQQJJ2845308274015411479313

35 HCP012345
Blind1897302325181747711104
AAAAKKKKQQQJ181830822568176767887
AAAAKKKKQQJJJ2845154130821479740313
AAAAKKKQQQQJJ2845308274015411479313

36 HCP01234
Blind2229369827611134177
AAAAKKKKQQQQ18184109308290487
AAAAKKKKQQQJJ2845308222811479313

37 HCP0123
AAAAKKKKQQQQJ284546232219313

 Study 8H21   Main Top   Companion Hand HCP Tables