I and three friends are playing a game of Open Face Chinese Poker involving a standard deck of 52 cards. Player X got a Queen Fantasy land which means the next time the game is played, he will get the first 14 cards from the deck.
The question is this: Is there any difference in probability of getting a Flush between these 2 situations:
- The first 14 cards are given first to player X, then the rest of the cards are distributed sequentially between the other players
- The cards are distributed sequentially to the other players first, then player X receives the last 14 cards
I felt that it is different and situation 1 is more advantageous to player X, but I cannot prove it mathematically.