Baccarat Analysis

Here is my full page on baccarat.

Here is the code created in the video.

#include 

#include 

#include 

#include 

#include 

#include 

using namespace std;



void main(void)

{

	int p1, p2, p3, b1, b2, b3, ptot, btot, i, deck_array[10];

	deck_array[0] = 8 * 16;

	for (i=1; i<=9; i++)

		deck_array[i] = 8 * 4;

	__int64 combin, player_win, banker_win, tie_win;

	combin = 1;

	player_win = 0;

	banker_win = 0;

	tie_win = 0;

	for (p1 = 0; p1 <= 9; p1++)

	{

		combin *= deck_array[p1];

		deck_array[p1]--;

		for (p2 = 0; p2 <= 9; p2++)

		{

			combin *= deck_array[p2];

			deck_array[p2]--;

			for (p3 = 0; p3 <= 9; p3++)

			{

				combin *= deck_array[p3];

				deck_array[p3]--;

				for (b1 = 0; b1 <= 9; b1++)

				{

					combin *= deck_array[b1];

					deck_array[b1]--;

					for (b2 = 0; b2 <= 9; b2++)

					{

						combin *= deck_array[b2];

						deck_array[b2]--;

						for (b3 = 0; b3 <= 9; b3++)

						{

							combin *= deck_array[b3];

							ptot = (p1 + p2) % 10;

							btot = (b1 + b2) % 10;

							if ((ptot < 8) && (btot < 8))

							{

								if (ptot <= 5)

								{

									ptot = (p1 + p2 + p3) % 10;

									if ((btot<=2)||((btot==3)&&(p3!=8)) || ((btot == 4) && (p3 >=2) && (p3<=7)) || ((btot == 5) && (p3 >= 4) && (p3 <= 7)) || ((btot == 6) && (p3 >= 6) && (p3 <= 7)))

										btot = (b1 + b2 + b3) % 10;

								}

								else

								{

									if (btot <= 5)

										btot = (b1 + b2 + b3) % 10;

								}

							}

							if (ptot > btot)

								player_win += combin;

							else if (ptot < btot)

								banker_win += combin;

							else

								tie_win += combin;

							combin /= deck_array[b3];

						}

						deck_array[b2]++;

						combin /= deck_array[b2];

					}

					deck_array[b1]++;

					combin /= deck_array[b1];

				}

				deck_array[p3]++;

				combin /= deck_array[p3];

			}

			deck_array[p2]++;

			combin /= deck_array[p2];

		}

		deck_array[p1]++;

		combin /= deck_array[p1];

	}

	printf("Player wins=\t%I64i\n", player_win);

	printf("Banker wins=\t%I64i\n", banker_win);

	printf("Tie wins=\t%I64i\n", tie_win);

	__int64 tot_combin = player_win + banker_win + tie_win;

	double player_prob = (double)player_win / (double)tot_combin;

	double banker_prob = (double)banker_win / (double)tot_combin;

	double tie_prob = (double)tie_win / (double)tot_combin;

	printf("Player wins=\t%f\n", player_prob);

	printf("Banker wins=\t%f\n", banker_prob);

	printf("Tie wins=\t%f\n", tie_prob);

	double player_ev = player_prob - banker_prob;

	double banker_ev = 0.95 * banker_prob - player_prob;

	double tie_ev = 8 * tie_prob - player_prob - banker_prob;

	printf("Player EV=\t%f\n", player_ev);

	printf("Banker EV=\t%f\n", banker_ev);

	printf("Tie EV=\t%f\n", tie_ev);

}

Written by: Michael Shackleford