Poker Simulation to Compute the Various Probabilities of Drawing 5-card hands

Description

This Java console application is a simulation of drawing N random 5-card hands from a standard 52 card deck.

Each hand, drawn from the top of a shuffled deck, is evaluated to determine what type of hand was drawn.

Each type of hand is counted with the results displayed for both the actual probability and the expected (theoretical) probability of drawing that type of hand.

You can change the number of poker hands simulated by changing the HANDS variable in the pokersimulation.PokerSimulation.java class. The default is 100,000 hands simulated.

Prerequisites

• java 1.8+
• git

To execute the code

1. git clone https://github.com/jesimone57/poker-simulation.git
2. cd poker-simulation
3. gradlew clean build test
4. gradlew run

Sample Output

    Start simulating 100000 random poker hands:
    simulated 10000 random poker hands ...
    simulated 20000 random poker hands ...
    simulated 30000 random poker hands ...
    simulated 40000 random poker hands ...
    simulated 50000 random poker hands ...
    simulated 60000 random poker hands ...
    simulated 70000 random poker hands ...
    simulated 80000 random poker hands ...
    simulated 90000 random poker hands ...
    simulated 100000 random poker hands
    Done

Probabilities:

  Straight Flush  :       2 of  100000:  actual=  0.001999%  expected=  0.0015390771%  deviation=  29.948%
  Straight        :     411 of  100000:  actual=  0.411%     expected=  0.3924647%     deviation=   4.7228%
  Flush           :     199 of  100000:  actual=  0.199%     expected=  0.19654015%    deviation=   1.2515793%
  Four-of-a-Kind  :      17 of  100000:  actual=  0.016999%  expected=  0.024009604%   deviation= -29.195%
  Full House      :     137 of  100000:  actual=  0.137%     expected=  0.14405763%    deviation=  -4.899173%
  Three-of-a-Kind :    2155 of  100000:  actual=  2.155%     expected=  2.1128452%     deviation=   1.9951688%
  Two Pair        :    4670 of  100000:  actual=  4.67%      expected=  4.7539015%     deviation=  -1.7648948%
  One Pair        :   42469 of  100000:  actual= 42.469%     expected= 42.256905%      deviation=   0.50192314%
  Nothing         :   49940 of  100000:  actual= 49.94%

Total of all actual proabilities= 100.0%

A full description is available here: http://en.wikipedia.org/wiki/List_of_poker_hands