The problem I am trying to solve is the following:
We are playing a game every day for 100 days. Assuming the winrate is always 75%.
Every day you have the option to either:
- Play once with the possibility to get 150 dollars if you win
- Play three times with the possibility to get 50 dollars each time
Which option is better? Does it even make a difference? If yes, how can this be calculated?