Funny story about getting bad beats, the odds not going your way, etc.
Tonight I was rather bored, so I decided I'd simulate AKs versus 22, 20 times. Now, statistics show that AK should win approximately 10 times. Well, I decided to predict that if either hand won more than the other, it would be AK. As it turns out, AK only won 7 out of the 20 hands (I shuffled the deck 5+ times between each deal, it WAS random). A little more curious, I made up a quick program that would simulate coinflip situations such as this one, and determine how unlucky I was there. (For those who aren't into programming, you may want to skip the next paragraph).
Anyways, I ran a loop, one million times. Inside this loop, I calculated a coinflip scenario, Random.nextBoolean(), 20 times. I kept track of the number of times this function returned true (representing the number of times AK would win). Now, while this is not an exact calculation of the odds, when you calculate something over a million times, it certainly gives you a good idea of what those odds are. Here are the results I got:
| Number of times AK won | Occurrence over 1 million trials | Occurence (%) | AK should win more than this how many times(%) |
| 0 | 1 | 1.0E-4 | 99.9999 |
| 1 | 18 | 0.0018 | 99.9981 |
| 2 | 189 | 0.0189 | 99.9792 |
| 3 | 1048 | 0.1048 | 99.874405 |
| 4 | 4608 | 0.4608 | 99.413605 |
| 5 | 14583 | 1.4583 | 97.95531 |
| 6 | 36615 | 3.6615 | 94.29381 |
| 7 | 74396 | 7.4396 | 86.85421 |
| 8 | 119992 | 11.9992 | 74.85501 |
| 9 | 160193 | 16.0193 | 58.83571 |
| 10 | 176278 | 17.6278 | 41.20791 |
| 11 | 160100 | 16.01 | 25.197908 |
| 12 | 120158 | 12.0158 | 13.182108 |
| 13 | 73949 | 7.3949 | 5.787208 |
| 14 | 37167 | 3.7167 | 2.070508 |
| 15 | 14817 | 1.4817 | 0.58880806 |
| 16 | 4642 | 0.4642 | 0.12460807 |
| 17 | 1047 | 0.1047 | 0.01990807 |
| 18 | 181 | 0.0181 | 0.0018080696 |
| 19 | 18 | 0.0018 | 8.069677E-6 |
| 20 | 0 | 0.0 | 8.069677E-6 |
The extremely small number at the bottom is caused by runoff error.
Now, it's one thing to be bad beat here and there, I believe any poker player should expect it. However, I believe it's runs such as the one I simulated (AK won only 7 times out of 20, it should win 8 or more times
86% of the time) that truly puts people on tilt, and takes the fun out of the game.