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altoidscooper
altoidscooper
altoidscooper
  • Threads: 2
  • Posts: 2
Joined: Oct 21, 2012
October 21st, 2012 at 1:11:52 PM permalink
Hi, I've been looking at the probabilities of three card poker hands.

I understand how to work out the probabilities using COMBIN on excel (and the maths behind it) but I can't recompute the combined probabilities of the pair plus and ante/play bets.


I'm essentially trying to recalculate the combined return table from the link above. I understand the total combinations is 407170400 which would be COMBIN(52,3)*COMBIN(49,3).

Anyone know how to recalculate the combinations?

Thanks!
teliot
teliot
teliot
  • Threads: 43
  • Posts: 2871
Joined: Oct 19, 2009
October 21st, 2012 at 1:33:08 PM permalink
Quote: altoidscooper

Anyone know how to recalculate the combinations?

Cycle through all player hands. For each player hand, cycle through all dealer hands. Track the net win/loss under both options (Fold or Play). Choose the option that gives the maximum result and use that to score the player hand's value. Here is the code I use (I'm not providing my Utilities library). Even if you don't know computer programming, the code should be pretty intuitive. The only thing to know is that I score each hand once before starting so that all three card poker hands are evaluated in advance. The output of this program is "-0.033730, 3172". The number 3172 is the score for Q64. The number 3122 is the score for Q23. By the way, showing your code is a bit like showing your underwear. I am sure there are some (eh) inefficiencies.

#include <stdio.h>
#include <stdlib.h>
#include "Utilities.h"

main() {

  int c1, c2, c3;
  int p1, p2, p3;
  int d1, d2, d3;

  int score[52][52][52];
  double handWagered = 0;
  double handWon     = 0;
  double totalWagered = 0;
  double totalWon  = 0;
  double evPlay    = 0;
  double evFold    = 0;
  double playerScore = 0;
  double dealerScore = 0;
  double minPlayScore = 1000000;

  for(c1 = 0; c1 < 52; c1++) {
  for(c2 = 0; c2 < 52; c2++) {
  for(c3 = 0; c3 < 52; c3++) {
    if (c1 == c2 || c1 == c3 || c2 == c3)
      score[c1][c2][c3] = -1;
    else
      score[c1][c2][c3] = getHash(c1,c2,c3);
  }}}

  for (p1 = 0;    p1 < 52; p1++) {
  for (p2 = p1+1; p2 < 52; p2++) {
  for (p3 = p2+1; p3 < 52; p3++) {
    totalWagered++;
    handWagered = 0;
    handWon = 0;
    evFold = -1;
    evPlay = 0;
    playerScore = score[p1][p2][p3];

    for (d1 = 0;    d1 < 52; d1++) {
      if (d1 == p1 || d1 == p2 || d1 == p3)
        continue;
    for (d2 = d1+1; d2 < 52; d2++) {
      if (d2 == p1 || d2 == p2 || d2 == p3)
        continue;
    for (d3 = d2+1; d3 < 52; d3++) {
      if (d3 == p1 || d3 == p2 || d3 == p3)
        continue;
      handWagered++;
      dealerScore = score[d1][d2][d3];
      if (dealerScore < 3122)
        handWon += 1;
      else
      if (dealerScore >= 3122 && dealerScore > playerScore)
        handWon -= 2;
      else
      if (dealerScore >= 3122 && dealerScore < playerScore)
        handWon += 2;
      else
        handWon += 0;
      
      if (playerScore >= SF)
        handWon += 5;
      else
      if (playerScore >= TR && playerScore < SF)
        handWon += 4;
      else
      if (playerScore >= ST && playerScore < TR)
        handWon += 1;
    }}}

    evPlay = (double)handWon/handWagered;

    if (evPlay > evFold)
      totalWon += evPlay;
    else
      totalWon += evFold;

    if (evPlay > evFold && playerScore < minPlayScore)
      minPlayScore = playerScore;
  }}}

  printf("%f, %.0f\n", totalWon/totalWagered, minPlayScore);
}

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