I have 10 players in a pool with names repeating. I need to draw 3 winners from the pool and each player can't have more than 5 entries in the pool. Ex: [P0, P1, P2, P2, P3, P3, P3, P3, P3, P4, P4, P5] What is the probability for P3 to win (at least once in 3 draws) in the below cases.
- Draw a winner without taking the winner entries out of the pool for the next draw. If we pick an already winner again then we re-draw until a new player is a winner.
- Draw a winner and remove all the entries of the winner from the pool and re-draw for second winner and so on.
In which scenario P3 has more probability to win?