Odds that a player wins every hand of a session
Alright. There are plenty of variables, so I'll be specific. We can discuss others, but I'm interested to see someone calculate below.
-270 hands in the session
-9 handed table
-Hero has to play his usual game (details below)
-Hero is usually a 20 vpip (100 in this session, of course)
-Hero usually wins 20% of hands he plays
-Hero never wins with AKo (but always plays it/part of vpip)
-Hero never wins when he makes a flush
-Hero always makes flushes when he's dealt suited cards in the blinds
-Hero gets dealt suited cards 25% of the time
-Hero never wins if another player is dealt the same hand
2 Replies
Sorry about this post. Feel free to delete. I'm picturing someone working on the problem all night and laughing, but seriously, don't waste your time.
Just playing every hand is a 1 in 5^270 event, let alone winning all of them, which would be closer to 1 in 9^270. That's unfathomably low, so calculating to more precision would be splitting quarks.