
ozhinjukidakkunna sthalangal

card geyim bridjil, ozhinjukidakkunna sthalangalude niyamam allengil thathwam naalu kaikalilum eathenkilum prathyeka kaardinte sthaanam kanakkakkunnathinulla oru lalithamaaya reethiyaanu. meshappurathu oru theerumaanamedukkaan sahayikkunnathinum suit division probability table muzhuvan nedunnathinum ithu upayogikkaam.
oru edapaadinte thudakkathil, naalu kaikalil oronninum pathimoonnu cardukal adangiyirikkunnu, oro kaiyilum pathimoonnu ozhinjukidakkunna sthalangalundennu oraal paranjekkaam. oru prathyeka card oru prathyeka kaiyil kidakkanulla saadhyatha naalilonn allengil 13/52 aanu, aaa kaiyile ozhinja sthalangalude anupatham. oru kaii kaanunna oru kalikkaarante kazhchappadil, oru prathyeka kaiyil card nashtamaayathinte saadhyatha moonnilonnaanu. lelathilum naadakatthilum edapaadinekkurichu ariyumbol ozhinjukidakkunna sthalangalude thathwam aaa ekeekritha saadhyathakal update cheiyunnathinulla oru niyamamaan. adisthaanaparamaayi, chila kaardukalude nunakal ariyappedumbol-prathyekichu chila syoottukalude muzhuvan vitharanangalum ariyappedumbol-mattethenkilum prathyeka kaardinte sthaanathekkurichulla saadhyathakal ellah kaikalileyum thirichariyappedaatha kaardukalude ennam kurayunnathinu aanupaathikamaayi thudarunnu, athaayath.iii. ozhinjukidakkunna sthalangalude ennam.
bayas sidhaanthathe adisthaanamaakkiyulla vyavasthaapitha probability sidhaanthathil ninnaan ozhinja sthalangalude thathwam pinthudarunnathu. saadhyathakal nikathunnathinulla nalla pashchaathalatthinum prathyekichu ozhinjukidakkunna sthalangalkkum kelsey kaanuka; bridjinte audyogika vijnjaanakoshavum kaanuka.
ozhinja sthalangalude kanakkukoottalukal engane meshappurathu pravartthikkunnu.
 dummyil kxx umm kaiyil ajxx umm ulla oru hart kontraakttil njangal declareranu (chithram kaanuka). naalu hart cardukal kaananilla, raajnjiyum moonnu spott kaardukalum allengil qxxx. rund athiraalikalum thaazhekku pinthudarukayum mattoru cheria hridayathe nayikkukayum cheiyunnathinaal njangal rajavinodu cheruthaanu kalikkunnathu, 2. moonnu spott kaardukalil avasaanatheth njangalude valathuvashath prathyakshappedunnu, oru mikacha hridayamaaya raajnjiye avasheshippikkunnu. spott card kaivasham vachukondu aarum raajnjiye kalikkathathinaal, raajnjiyude sthaanathekkurichu njangal nerittu onnum padichittilla, moonnu spott kaardukalude vitharanam maathram, onnu idathuvashathum rund valathuvasathum. theerumaanamedukkunna samayat namukk ozhinjukidakkunna sthalangalude kanakkukoottal nadatthaam.
aadyam, mattu suitukalekkurichu namukk onnum ariyillennu karuthuka, orupakshe athiraalikal lelam vilichittillayirikkam kaaranam. appol idathuvashathu nireekshicha oru cheria hridayavum valathuvashath nireekshicha rund hridayavum maathrame namukkariyoo. athu q idathuvashathu thamasikkunna panthrand "ozhinja sthalangalum" valathuvashath pathinonnu ozhinja sthalangalum avasheshippikkunnu. ozhinjukidakkunna 23 sthalangalil 12 ennathilum raajnji kidakkukayaanengil, idathuvashathu, nammal easu kalikkunnathiloode vijayikkunnu; raajnji veezhunnu. ozhinjukidakkunna 23 sthalangalil 11 ennathilum, jack thudarnnu ekkum kalichukondu njangal vijayikkunnu, adutha hart trickle raajnjiye valathuvashath idunnu. athinaal easu kalikkunnathinulla saadhyathakal 12 muthal 11 vareyaanu; oru adhika thanthram nedunnathinu easu oru cheria priyappettathaan, athaayath.iii. hridayathil anchu thanthrangal neduka. 12/23 = 52.174% enna anupatham suit kombineshanukalude staanderd kaattalogukalil prathyakshappedunna saadhyathayaanu. 
ennirunnaalum, eee kanakkukoottal hart suitil maathrame labhyamaakoo ennu shradhikkuka, kaaranam njangal ellah "mattu" hridayangalum kanakkaakkiyittund, athaayath oro hridayavum, ennaal njangal ippozhum anweshikkunnu. motham anchu hart cardukal nashtamaayenkil ozhinjukidakkunna sthalangalude kanakkukoottal prayogikkaan kazhiyilla.
pakaram, loow kaikaaryam cheyyukayum 2 (durbalamaayathu) thurakkukayum cheythuvennu karuthuka; athiraalikalude kooduthal lelam vilikkathe njangal oru hridaya karaarilethi; "koodaathe" namukk dummick kaikkum idayil anchu spedukal undu, athiraalikalkkaayi ettu avasheshikkunnu. loykk aarr spedukalum roow tuu undennu namukk anumanikkaam. (ithu urappalla; idaykkide eerppamulla idukakal ezhum onno anchum moonnum aayirikkum. aarum randum undengil, mattu moonnu suitukalkku ezhum pathinonnum seettukal ozhinjukidakkunnu.) hart suitinteyum kaliyudeyum samyojanam mukalil charcha cheythathupole chithratthile samyojanam; njangal rajaavilekku cheruthaayi nayikkunnu, athesamayam rund athiraalikalum thaazhnnathine pinthudarunnu, roow thaazhnnathine pinthudarumbol 2 kaikal thirike nayikkunnu. ippol idathu vashath q-nuu aarr sthalangalum valath vashath ombathu sthalangalum ozhinjukidakkunnu. idathuvashathulla raajnjikkethire ippol 6 muthal 9 vareyum, easu kalikkukayaanengil vijayikkunathinethire aanu saadhyathakal. 9/15 = 60 sathamaanam enna anupatham roow raajnjiye pidichunirtthaanum jacq kalikkunnathum suit nedaanumulla saadhyathayaanu.
ozhinja sthalangalude kanakkukoottalukal engane pattikayil ninnu akannu pravartthikkunnu.
oru suit engane vibhajikkappedumennu kaanikkan sahaayikkunnathin oru koottam probability tableukal nirmmikkendathundenna namukk sangalppikkaam, udaaharanathinu, peju bridge probabilittikalil "rund maranjirikkunna kaikalil suit vitharanathinte probability". suitil moonnu cardukal nashtamaayennum mattu syoottukalude vitharanathekkurichu njangalkk onnum ariyillennum karuthuka (athaayath.iii. oru munganana" saadhyathakalkkaayi njangal thirayunnu). moonninteyum aadya card "deale" cheyyumbol, namukk athu rund kaikalilum vaykkaam. oro kaiyilum, nirvachanamanusarichu, 13 ozhinjukidakkunna sthalangalundu, athinaal athu eathu kaiyilekku pookunnu ennathu oru toss-upp aanu (13/26 = irukaikalkkum 50 sathamaanam). ippol namukk suit 3-0 aayi vibhajikkappedaanulla saadhyatha arian aagrahikkunnuvennu karuthuka. aadya card ithinakam thanne kizhakk kaiyilaanennu parayaam. ippol addehathinu 12 ozhinjukidakkunna sthalangal maathrame ulloo, athinaal aaa kaikk moonnu kaardukalil randaamathethu labhikkanulla saadhyatha 12/(12 + 13) aanu. aadya rund kaardukalum kizhakk undakaan saadhyatha kandethunnathinu ithu aadya randilonnu saadhyatha kondu gunikkanam. ippol kaanathaaya kaardukalil moonnaamathethum (avasaanathethum) kaikaaryam cheyyaam. eee samayamaayappozhekkum, kizhakk 11 ozhinjukidakkunna sthalangal maathrame ulloo, padinjaaru ippozhum 13 undu. kizhakk moonnu kaardukalum labhikkanulla saadhyatha 1/2 × 12/25 × 11/24 aanu, ithu krithyamaayi 0.11 aanu, ithu pattikayude naalam variyil naam kaanunna moolyamaanu (3-0:02:2:01).
ippol, naalu cardukal nashtappedumbol (pattikayile adutha varii) 2-2 vibhajanathinte vyakthigatha saadhyatha kanakkakkaam. ithavana, munbatheppole thanne, kanakkukoottal ithaanu
 13/26 × 12/25 × 13/24 × 12/23 = (3 × 13)/(23 × 25) = 0.067826. 
eee thuka 6 kondu gunikkendathundu, 2-2 vitharanam kaanikkan kazhiyunna krithyamaayi vazhikal, 4 nuu mukalil 2 cardukal labhikkunnathinte samyojanam. 2-2 vibhajanathinte anthima saadhyatha 0.067826 * 6 = 0.4069565217 aanu.
mattu suit divisionukalude saadhyathakalum samaanamaayi kanakkakkaam.

