The knowledge of probability theory is used to prove the lottery between two people.

If the rule of drawing lots is that everyone draws and puts it back so that the next person can draw, this is an average problem. Each draw has nothing to do with the previous results, and its probability is 1/n (similar to flipping a coin).

If you don't put it back after smoking, the result will be different. The probability at this time is related to the previous results.

The probability that the first person draws is 1/n+ 1/(n-2)+ ...

The probability that the second person draws is1/(n-1)+1/(n-3)+ ...

This is related to the value of n.

For the simplest example, when n= 1, the probability of the first person drawing is 1, and the probability of the second person drawing is 0.