Max value in for loop

import math
def main():
    global r,n
    n = int(input('Name the amount of individuals: '))
    r = int(input('Name the amount of recombinant children: '))
    print('')
    bereken()
    
def bereken():
    global LOD
    for x in range(1,51,1):         
        z = x/100
        LOD = math.log10 (((1-z)**(n-r)*(z**r))/(0.5**n))
        print('At a recombinant fraction of ',float(z))
        print('The maximum LOD-value is: ',float(LOD))
        print('')
        MAX()

def MAX():
    print('The highest LOD-value is: ',max(LOD))   

main() 

#the LOD is 0.0 becouse x=50 (the sum equals 0)
#and in the loop LOD is overwritten each time (50 times total)
#which means its not a list please help!

def bereken():
    LOD = list()
    for x in range(1,51,1):         
        z = x/100.0
        LOD.append(math.log10 (((1-z)**(n-r)*(z**r))/(0.5**n)))
        print('At a recombinant fraction of ',z)
        print('The maximum LOD-value is: ',LOD[-1])
        print('')
    MAX(LOD)