Blackjack House Edge
UTH is one of the most popular novelty games in the market.
For that reason, it is important to understand the multitude of ways that UTH may be vulnerable to advantage play.
Many of my recent posts have concerned some of these possibilities.
But the computations are tedious.
It took my computer 5 days to run the cycle where the AP sees one dealer hole-card see.
Then my computer spent 8 days side bet lucky lucky the situation where the AP sees one dealer hole-card and one Flop card see.
After that, my computer crunched hands for just over 2 days considering computer-perfect collusion with six players at the table see.
Â After all of this time spent on more advanced plays, I decided to take a step back to compute the off the top, using perfect basic strategy and no advantage play.
It took my computer three days to run the pre-Flop cycle and another two days to run the Flop cycle.
Finally, I have some basic strategy data to present.
This analysis has been done before and has been done better by both Michael Shackleford and James Grosjean.
In light of what has been done before, if I had nothing new to offer here, I would forgo this post.
However, as the reader will soon see, this work includes megabytes of new fun.
The dealer needs a pair or better to "qualify.
Well, either the dealer qualifies or she doesn't.
The player beats, ties or loses to the dealer.
Either the player's hand is good enough to qualify for a "Blind" bonus payout, it doesn't.
The following table hopefully clarifies all of these possibilities and gives the payouts in every case: The final piece of the puzzle is the Blind bet.
Combinatorial Analysis The following spreadsheet contains my full combinatorial analysis.
It presents the 169 unique starting hands, together with wizard of oz blackjack strategy edge for checking and raising 4x.
blackjack lär dig spela The sheet also gives the number of hands equivalent to the listed hand the suit-permutations.
For example, because the starting hand 2c,7d is equivalent to 2h, 7sonly the hand 2c,7d was analyzed.
Flop Strategy A Flop wizard of oz blackjack strategy to check or raise 2x is only continue reading if the player checked pre-Flop.
By reference to the pre-Flop strategy above, it turns out there are exactly 100 equivalence classes of starting hands where the player checked pre-Flop.
I re-ran my UTH basic strategy program to consider each of these 100 hands and each possible Flop that can appear with that starting hand.
The following four spreadsheets contain the analysis for each of these 1,960,000 possibilities.
Each spreadsheet contains the full data for 25 starting hands for the player.
Then the EV for checking is 1.
As is intuitively obvious because the player paired his Jackraising 2x is correct here.
This is also a hand where the player should raise 2x the decision is very closebut I have very little intuition for why this might be the case.
Perhaps because there is a runner-runner straight draw and a flush draw.
Now look at theÂ very next row.
When the player holds 8c, Jd and the Flop is 2c, 3c, Kcthen it is correct to check.
The runner-runner straight no click exists.
Any attempt to quantify such subtleties into a full strategy must surely be a painstaking task.
The reader is invited to cull these four spreadsheets approx.
Michael Shackleford's approximation to Flop strategy is simple and smart.
The player should raise 2x with two pair or better, a hidden pair except pocket 2's or four to a flush with a kicker of T or higher.
It is four to a flush with kicker 8c.
Shackleford's incorrect strategy for this hand corresponds to a very small loss of EV 0.
This small loss of EVÂ is well worthÂ the investment, givenÂ the strategic simplicity it yields.
Good luck getting a copy of CAA.
James, make your book available!
By reference to the Flop strategy spreadsheets given above, of the 1,960,000 Flop possibilities, exactly 1,273,842 of them correspond to the player checking on the Flop.
Let N be the number of outs under consideration for the dealer to beat the player.
For his second card, the dealer who whiffed on his first card most likely has 3 additional "pair outs" to pair his first card and beat the player.
He may also generate new graphics blackjack or flush outs call these 1Â additional "out," so-called "runner-runner".
That is, the player raises 1x when his chance of beating the dealer is 25% or higher.
The first case is the "impossible solution," leading to the conclusion that there can be at most 20 dealer outs that can beat the player.
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Blackjack House Edge
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