First of all, painting 10 at a time and painting 10 at a time are completely the same concept, because painting 10 at a time can be completed without putting it back.

Consideration: A draws 10 cards at one time, and B draws 10 cards at one time among the remaining 90 cards. The winning probability of A and B is actually the same.

Secondly, let's calculate the probability of once drawing 10 and once drawing 10 to verify the consistency.

1, 10 sheets were taken at one time, one * * had 100C 10 boxes, and the missing 10 sheets had 90C 10 boxes.

Then the probability of drawing is1-(90c10)/(100c10) =1-(90 * 89 * 87 * ... * 81).

2. Draw one card at a time 10, and calculate the probability of missing draw 10. The first mistake was 90/ 100, the second mistake was 89/99, and the ... 10 miss was 8 1/9 1.

So the probability is1-(90 * 89 * 87 * ... * 81)/(100 * 99 * 98 * ... * 91).

It can be seen that the probability is the same.