Spoiler for try my luck
Suppose n tickets numbered 1-n are in a box, and you draw one of them
You don't know how many tickets are in the box, but you are asked to estimate how many there are.
Your ticket has the number p on it.
What estimate of n has the highest likelihood of being correct?Spoiler for i think
You are both correct. bona_gold_star.gif
nakulendu posted first, so I marked his answer as the solution.
The solutions above are making some assumptions about the properties of underlying distribution of N, which may or may not be warranted depending on your interpretation of the OP.