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Discrete Probability Distribution
The password is “1” or maybe “one”.
Alcohol and calculus don’t mix.
Never drink and derive.
Call me obsessed, but I actually plugged in the values for N=8, and M gte N/2 to N, incremented by .1. I then summed the P(M) values. The answer I came up with is 0.000483, which is meaningless.
I did note that as M and N got larger, the result approached zero. Once M and N went negative, that all changed.
It should also be noted that the answer cannot be a real number since not all Ns are evenly divisible by 2, making the quotient irrational and any product irrational also.
Someone plug this into Wolfram and see how it graphs out.