I originally applied this concept to correct guessing of moves made by strong chess players but this can be generally applied elsewhere. Whenever there is a comparison of ratios where it can be reasoned that the same ratio for the instance of where more attempts were made suggests a better performance than when fewer attempts are made, a mathematical convention could be applied. There can be contention on who would rank higher, one who has a performance ratio of only 1 out of 2 attempts or one who has a performance ratio of 5 out of 12 attempts. Of course some weight should be given to the one who made the greater number of attempts but should the slightly less than 50% performance rate be considered better than the one who has a 50% performance rate on a lower number of attempts? Well, finally this can be answered. One must first come up with a reasonable convention and the one I chose is based on the following: 1/2 ~ 3/8 ~ 11/32 ~43/128 Which basically states, a perfor...