I'm not sure how to accurately ask that question so I let me go with example.
Let's say I've got 3 not-fair number generators: A, B, C. They draw numbers between 0 and 1000. I'd like to guess for each of the generators, the probability of having the highest expected value. In other words I'd like to know chances for each of them of being the best (generating the highest values on average).
I made 5 simulations for simplicity and those were results:
A: 845, 13, 345, 765, 900
B: 87, 105, 345, 10, 5
C: 950, 25, 4, 870, 930
I've got number of samples, I can calculate EV and std dev over those samples. How to calculate probability for each generator of being the one producing the highest numbers? Thanks for help!
Edit: Let's assume generators has normal distribution.