| >=
k). Since all possibilities are equal in blind pick, here are
NCg possibilities of picking out g choices
from N alternatives. Of all these picks, the number of possible ways
for i < k of the top-g choices in S is
gCi. For each of these possibilities of i
top-g choices in S, the remaining g-i top-g
choices can be distributed in the remaining N-g slots in
N-gCg-i ways. Thus the fraction of possibilities
of at least k top-g choices in S via blind picking is
given by
Now for g > |S| = s and by the same reasoning
and for s > g
