# Ergodic Experiment

Based on this video.

Run this experiment with this command:

`python main.py`

Try adjusting the `BET_PERCENT` to .25 to see the median amount won increase.

## Conclusion

By having more “small bets” in the system, you increase your chances of winning the game.

## Example Output

Here’s an example output when every ensemble does the max bet (100%). In other words, only 1 bet.

``````Number OF ENSEMBLES: 1000
Number OF Coin Flips: 1000
Total Money in System: \$2,620,888.98
Max Final Balance: \$9,228.53
Average Final Balance: \$2,620.89
Median Final Balance: \$0.00
Number of Ensembles with less than \$100: 506
Number of Ensembles with more than \$100: 494
``````

And here is the result when everyone does 4 “small bets” of 25% of the max bet.

``````Number OF ENSEMBLES: 1000
Number OF Coin Flips: 1000
Total Money in System: \$5,042,366.28
Max Final Balance: \$22,283.97
Average Final Balance: \$5,042.37
Median Final Balance: \$4,861.62
Number of Ensembles with less than \$100: 332
Number of Ensembles with more than \$100: 668
``````

Notice the median amount of money won has gone from \$0 to \$4k and the chance of “winning” (making more than you started with) went from 50% to ~67%.

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