If n toys are distributed among N boys r...

If `n` toys are distributed among N boys randomly, then the probability that a particular boy gets `r(lt n)` toys is

`" "^nC_r (1/N)^(n-r)`

`" "^nC_r (1/N)^(r)`

`" "^nC_r (1/N)^(r)(1-1/N)^(n-r)`

`" "^nC_r (1/N)^(r)(1/N-1)^(n-r)`

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