I have three arrays of numbers. If you take a random one from x, it will 'win' more times than a random number from z, which will win more times than a number from y, which will win more times than a number from x.
However, the distribution is not equal.
y beats x 51% of the time, being beaten by x 46% of the time
x beats z 46% of the time, being beaten 42% of the time
z beats y 52% of the time, being beaten 46% of the time
How can I change these to make them approximately equal, winning more than 50% of the time?
Each array must have every number from 0 to 21, add up to the same amount (currently 735) and be of equal length. The closer the probabilities are the better, the higher the better, with as few numbers as possible.
x = [21,21,21,21,21,21,21,21,21,20,19,18,17,16,15,14,13,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,11,10,9,9,9,9,9,9,9,9,9,8,7,6,6,6,6,6,6,6,6,6,5,4,3,3,3,3,3,3,3,3,3,2,1,0]
y = [21,20,19,18,18,18,18,18,18,18,18,18,17,16,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
z = [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,20,19,18,17,16,15,14,13,12,12,12,12,12,12,12,12,12,11,10,9,8,7,6,5,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,1,0]