I have Probability equation given by $p(r)=\frac{ (1-\alpha) \alpha^{CW}} { 1- \alpha^{CW} }. \alpha^{-r} $ . Here r is number of objects from 1 to $CW$.
How can i write probability of picking any one of the elements from $r= 1,......,CW$ , here $CW=10$.
If it were uniform distribution we could write it as $p=1/CW=1/10$, but here every element has different probability due geometric truncated distribution equation shown above.