The way the bet is supposed to work, you have, on average, 24 cards to win,
24 cards to lose, and 3 cards to tie. This assumes, as always, that both the
dealer's card and your card are chosen completely randomly.
If you won the ties, you would have (on average) 27 ways to win, and 24 ways
to lose. So for every 51 bets, you would win 3 units, and have a 54/51 =
105.88% return on the double up bet.
I don't know what the limit is on how many times you can double up, or what
the max amount is that you can win by doubling up. But certainly, doubling at
every opportunity would maximize your EV. Repeated doubling, of course, also
increases the variance.
This seems a strange question to ask, unless you've found a malfunctioning
machine that pays you for double up ties. Care to share any details? As has
been discussed here recently, you should keep the location of any such machine
to yourself. Or, if you are a VERY honest person, you should tell the casino
about it. IMO, knowingly doubling up repeatedly on such a machine could be
considered cheating, and the casino would almost certainly consider it as such.
Brian
···
=========================================
In a message dated 3/12/2008 11:43:38 PM Pacific Daylight Time,
len_jz@yahoo.com writes:
What would happen if you DBL up and when you TIED the dealer, you WIN
the DBL up bet then ? How much would this affect the payback of the
machine and if so, would it be better to DBL up more then once and
keep going, or would it be better to play at a higher Denom and try to
DBL up after winning anything at all .....
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