how to have constant frequency in a group?

that's not possible, for every member

you can set down a certain frequency for one member, say every other chance and then set every other member around that

it's not possible to fit everyone in a certain frequency

e.g. another member every 3 and another every 4 etc

in special cases it might be possible like when you have only two members then everyone is alternating every other chance

thus their frequency of occurrence is 1/2

with 4 you could try to put the fourth element every fifth occurrence, the third element every fourth, the second element every third and the first element every other



in the above graph we first lay down the four elements and then try some way to have each as indicated above

we achieve 1/12 for the circle 3/12 for the triangle 2/12 for the square and 6/12 for the wiggly

it's only possible approximately and as a tendency as in n tends to infinity or 1/n tends to zero (if n tends to infinity)

in case of nine elements, if one were to fluctuate between every 8th and every 7th then the tendency would be towards the number



in n cycles we would have




and 0.133 is somewhere between 0.125=1/8 and 0.142=1/7

my thought is that that's impossible because all the frequencies added together will exceed 1 and as we know the total probability is 1

if you had 4 elements and wanted each to have its own frequency you would have to have

1/2+1/3+1/4+1/5

(1/1 does not exist since then one element would be there constantly thus rendering the whole idea of the group non-existing)




which is true

0.5(1/2)

0.5+0.33(1/3)=0.83

0.5+0.33+0.25(1/4)=1.08


Thus for any group larger than 2 we can't have constant frequencies for each member