There are all kinds of statistics out there detailing the odds for all kinds of scenarios. Chances are that the dealer will bust after 3-4 hands. HOWEVER, I've been in games where the dealers didn't bust for 10 hands and made 6, 21s in a row! Then there was the time I won 15 hands in a row and the dealer busted on only 4 hands. So as you can see, statistics are meaningless in most cases.
the probibility of a dealer breaking increaases as more players are added to the table, since if no players remain, the dealer wil not draw and even have the oportunity to bust. so there will be a different number depending on how many players are at the table.
http://www.wizardofodds.com lists the probibility of a dealer breaking somehwere on its website based on the number of players at the table. to find the probibility of the dealer busting X hands in a row you would just raise the probibility of busting one hand to the X th power.
When you make these calculations, they are asuming a random shuffle of the deck. They also assume a single deck game. You NEVER get a random shuffle of a deck in real casino play. You would have to evenly shuffle each deck 7 times to put it into a random order. If you were playing with a multi deck game, multiply that times the number of decks. Do you really think in a 4 deck game the casino is going to shuffle it 28 times? Don't trust shuffle machines either. They can be programmed to shuffle the decks unevenly.
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