by 3791 comments on "Hitung Peluang Menang Judi Kartu Online Poker"

Hitung Peluang Menang Judi Kartu Online Poker

Hitung Peluang Menang Judi Kartu Online Poker
Hitung Peluang Menang Judi Kartu Online Poker

pkercollection.com – Hitung Peluang Menang Judi Kartu Online Poker, Seperti yang kita ketahui selama ini, kartu kombinasi kartu poker adalah 5 dari 52 yang artinya (5, 52) = 2.598.960. Jumlah tersebut adalah nilai semesta atau yang biasa dikenal dengan ‘S’. Rumus peluang kemunculan andalah P = |E|/ |S|. Dimana E adalah banyaknya kejadian yang diinginkan.

Setelah mengetahui rumus diatas, mari kita subtitusikan perhitungan matematika dalam bermain poker.

Royal flush
Royal flush hanya memiliki 1 kemungkinan muncul dalam setiap bunga. Jadi total semua peluang kemunculan adalah 4. Maka peluang munculnya yaitu 4 / 2.598.960 = 0.000154%. Sangat kecil sekali peluang royal flush muncul.

Straight flush
Cara mudah menghitungnya adalah dengan menggunakan patokan kartu pertama dalam urutan straight flush. Ada 9 kemungkinan ( As – 9) untuk tiap tipe. Berarti ada total 36 (9 x 4) kemungkinan.

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Peluangnya = 36 : 2.598.960= 0,00139 %

Four of A Kind
Terdapat 13 kemungkinan 4 kartu yang sama, karena kartu sisanya random, maka terdapat 48 kemungkinan. Totalnya ada 13 x 48 = 624

Peluangnya = 624 : 2.598.960= 0,024 %

Full House
Untuk Three of Kind, berarti kita mengambil 3 kartu dari 4. Ini Sama dengan C(4,3). Terdapat 13 jenis kartu yang mungkin, sehingga dikalikan 13. Untuk One Pair sisanya, berarti kita mengambil 2 kartu dari 4, C(4,2). Dan tinggal ada 12 kemungkinan, karena 1 jenis telah terpakai untuk Three of Kind Totalnya ada C(4,3) x 13 x C(4,2) x 12 = 3.744

Peluangnya = 3.744 : 2.598.960= 0,144 %

Flush
Flush berarti dalam tiap tipenya, mengambil 5 dari 13, tetapi tidak boleh berurutan. Maka C(13,5) harus dikurangi 10 (Straight Flush dan Royal Flush), kemudian dikalikan 4. Totalnya adalah [C(13,5) – 10] x 4 = 5.108

Peluangnya = 5.108 : 2.598.960= 0, 197 %

Straight
Ada 10 kemungkinan seri (yang dimulai dari A-2-3-4-5 hingga 10-J-Q-K-As). Tiap kartu bebas tipenya, tetapi tidak boleh sama semuanya. Berarti ada 45 kemungkinan tipe dikurangi 4 (tipe sama semua). Totalnya adalah 10 x (45 – 4) = 10.200

Peluangnya = 10.200 : 2.598.960= 0,392 %

Three of A Kind
Berarti mengambil 3 dari 4, ada 13 pilihan. 2 kartu sisanya harus tidak membentuk apapun. MIsal kita telah dapat tiga kartu As, maka 2 kartu terakhir tidak boleh As, ataupun sama (Pair) karena jika As maka akan membentuk Four of Kind, dan bila Pair maka akan membentuk Full House. Sehingga 2 kartu yang tidak boleh dipakai yaitu 4 As (3 As telah terpakai dan 1 As lagi tidak boleh) dan semua jenis pair. Sehingga kita dapat menghitung sebagai berikut. 3 Kartu Pertama memiliki kemungkinan sejumlah C(4,3) x 13 = 52 Kartu keempat memiliki 48 kemungkinan (tak boleh yang sama dengan 3 kartu awal) Kartu Kelima memiliki 44 kemungkinan (tak boleh sama dengan 3 kartu awal atau kartu keempat). Karena kartu keempat dan kelima tidak berpengaruh urutannya, maka harus dibagi 2!. Sehingga totalnya adalah 52 x 48 x 44 / 2 = 54.912

Peluangnya = 54.912 : 2.598.960= 2,113 %

Two Pair
Berarti terdapat 2 pasangan kartu. Kartu terakhir tidak boleh sama dengan kartu sebelumnya, sehingga terdapat 44 kemungkinan kartu terakhir. Kita perlu memilih 2 pasang dari 13 jenis yang ada, dan tiap pasang memiliki kemungkinan sebanyak C(4,2) Totalnya adalah C(13,2) x C(4,2) x C(4,2) x 44 = 123.552

Peluangnya = 123.552 : 2.598.960= 4,754 %

Pair
Untuk 2 kartu yang sama, terdapat C(4,2) kemungkinan, dan ada 13 jenis yang dapat dipilih.

Sehingga terdapat C(4,2) x 13 = 783 kartu sisanya tidak boleh membentuk apapun, sehingga ketiganya harus jenis yang berbeda (tipe tidak berpengaruh). Berarti kita mengambil 3 dari 12, dan setiapnya memiliki 4 kemungkinan warna. Sehingga terdapat C(12,3) x 43 = 14.080 Totalnya adalah 78 x 14.080 = 1.098.240

Peluangnya = 1.098.240 : 2.598.960= 42,257 %

High Card
Kelima kartu tidak boleh membentuk apapun, berarti kelimanya harus berbeda, dan tidak boleh berwarna sama semua atau berurutan. Secara Jenis (As – K), terdapat 10 jenis kombinasi yang terlarang (Straight). Sehingga ada C(13,5) – 10 =1277 kemungkinan Secara Tipe (D, C, H, S), terdapat 4 kombinasi yang terlarang (flush). Sehingga terdapat 45 – 4 = 1020 kemungkinan Totalnya ada 1277 x 1020 = 1.302.540 kemungkinan

Peluangnya = 1.302.540 : 2.598.960= 50, 118 %

Tabel peluang matematika dalam bermain poker
Jadi kesimpulannya, semua kombinasi kartu tersebut bisa diurutkan sebagai berikut:

No Kombinasi, Total kemunculan
1 Royal Flush 4
2 Straight Flush 36
3 Four of a Kind 624
4 Full House 3744
5 Flush 5108
6 Straight 10.200
7 Three of a Kind 54.912
8 Two Pair 123.552
9 Pair 1.098.240
10 High Card 1.302.540
Total 2.598.960 100%

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