BR3 of 3, Last To Act, 2 Advance

Discussion in 'Blackjack Tournament Strategy' started by Monkeysystem, Mar 16, 2010.

  1. Monkeysystem

    Monkeysystem Top Member Staff Member

    Sometimes our opponents make unexpected errors. Our job is to be able to exploit those errors to maximum advantage. Such a situation came up at Kewadin St. Ignace this past weekend. Here's the situation that came up:

    Rules: Betting range 50-500 in increments of 10. BJ's pay 2:1. No insurance offered. Early surrender (before the dealer peeks for BJ) offered against aces only. Otherwise no surrender.

    Last hand, two advance. You are last to act.

    BR1: Bankroll 2,190, bets 500
    BR2: Bankroll 2,180, bets 200
    You: Bankroll 2,000, bet ???

    What would you bet, and why? Which opponent made the error that complicates the way you figure this bet?
     
  2. London Colin

    London Colin Top Member

    I'd bet 300. Primarily because it takes the low against BR1, but also because it offers the possibility of doubling to overtake BR2 (even if BR2 doubles).

    Both seem to have made errors -

    I think BR2 should have responded to BR1's max bet by betting 420-480. That would give BR2 the middle - the low against BR1, and the high against you. Plus if BR2 were to double or get a BJ, that would cover a double/BJ by you.

    BR2's bet of 200 does mean you have the option of taking the high, but the low (against BR1) is preferable.


    BR1 ought not to have bet 500 in the first place, though. 180 seems like BR1's best bet.
     
  3. LeftNut

    LeftNut Top Member

    Anyone else want to take a whack at this one? I won't because I was BR3 and Monkey was behind me, watching.

    I'll post what I did after a few more folks have had a chance to respond.
     
  4. Billy C

    Billy C Top Member

    I saw it

    I witnessed this too, and BR2 couldn't have made a WORSE bet choice than he did ($200) no matter how hard he tried!
    Nice enough fellow that wasn't an experienced tourney player. Can't get away with that when Lefty's around!

    Billy C
     
  5. sweet william

    sweet william Member

    i like london's bet ($300) for same reason, i know you want to get in the middle both ways here but don't see how to get high without giving up low.
     
  6. Fredguy

    Fredguy New Member

    $200.00 Gets low, and allows for double to get high if necessary.

    Analysis time, 30 seconds.
     
  7. London Colin

    London Colin Top Member

    But it takes no analysis at all to leave one chip more than BR1, and thus maximise any benefit that doubling might bring.

    I'd be using the 30 seconds to look for reasons to bet something other than 300.
     
  8. acemachine

    acemachine New Member

    agree with your anaysis, maybe with more time, better bet, I'm with you, in a pinch,
    almost automatic.
     
  9. LeftNut

    LeftNut Top Member

    Almost automatic, indeed. I'll post what I did tomorrow (Sunday) night, but I will say that no one has guessed my bet.

    Remember these facts - First, I have last action on this hand. Second, this was a 42-hand game and both of my opponents had already proven that they were not BJT-savvy players.
     
  10. London Colin

    London Colin Top Member

    BR1 Aggression

    I suppose if you are very confident that BR1 is going to double almost any hand, then a bet of 400 might be worth considering, giving you the middle if all goes to plan. (And you even have the luxury of being able to split a pair and still retain the low against BR1, having then bet a total of 800 to BR1's 1,000.)

    It would be similar to leading off with a max bet as BR1, when you have just one opponent, who you anticipate is going to bet the max whatever you do. It's lucrative if they behave as predicted, and if they don't you still have a reasonable chance.
     
  11. LeftNut

    LeftNut Top Member

    Whoops - forgot to write this up last night as promised!

    While I was sitting there with the clock ticking, the $300 was my first inclination. However, taking into account the inexperience of my opponents and the fact that I am acting last, I decided to bet London Colin's second guess of $400. And here's why:

    1. Gives me the high over BR2's mistake of $200 without needing a DD/split.
    2. If the Dealer shows an Ace and BR1 has a weak hand, I can surrender and force BR1 to win or push (300 would do this as well).
    3. My BJ takes BR2 right out of the game with no hope of recovery.
    4. BR2 may realize his situation and think he's forced into a bad DD, which is how it played out.

    If I was against strong opponents, 300 would have been it.
     
    Last edited: Mar 22, 2010
  12. S. Yama

    S. Yama Active Member

    very creative

    I like bet of 300 very much. The other good bet is 200.
    Those are the first and almost immediate choices.
    First condition for comparing these bets is BR1 not losing his 500 bet, because if he does then he is eliminated if we manage to lose no more than 310.
    The only difference between 200 and 300 bets is as follows:
    Bet of 200 advances us when we lose one full bet less than BR2, and bet of 300 would not do it;
    Bet of 300 advances us when we win double against BR1’s push and/or against BR2’s double win, and it wouldn't work with 200 bet.
    BR2 may doubles more than usual seeing that we can take it away from him by doubling our bet of 200. It's pointless to do it when our bet is 300. That may add up somewhere around 4% to our chances of advancing.
    If we bet only 200 BR2 may double for less, and only splitting adds to our chances, so additional value of 200 bet should be less than 1%.

    If I really had to come up with yet another bet than it would be 100 or 110. When dealer shows an Ace BR1 may realize how bad was his bet and surrender, so can do BR2, even with okay hands like 19. With bets bigger than 110 we would have to win if we survive dealer’s no bj.
    Bet of 100 for the dealer showing Ace adds a little more than 3% for situation that we would lose with any other bet, but gives up a lot (more than 20%) for all other possibilities.

    So what’s happened?

    S. Yama

    PS
    I wrote that b4 I read the answer.
    Leftnut, lots of points for creativeness. Good out of the box thinking.
    With your 400 bet you need to gain to one of your opponents.
    You looking for: you win and BR1 pushes or loses, or you and BR2 win same number of bets, or you double and one of them wins only single, or you push and one of them lose, and if you surrender to dealers Ace, when he gets bj and BR1 doesn’t surr. and then loses.
    Having poor players on the table improves those chances but unless they are so drunk that casino manager makes bets for them it won’t be the best play.
     
  13. Monkeysystem

    Monkeysystem Top Member Staff Member

    400 vs. 300

    If BR2 had bet 170 instead of 200, this teaser would not be here. It would be an easy bet of 300, taking the low against BR1 is preferable to taking the high against BR2. Lefty was too far behind to be able to get the middle, or to use the strong variation of Curt's revenge against BR1.

    But BR2 overbetting his lead against Lefty changed the calculus of this betting decision quite a bit. (Like some others on here, my first inclination watching this whole thing was to bet 300 too.)

    With a bet of 390 or more, Lefty was a virtual coin flip against BR2. If BR2 had bet only 170 Lefty couldn't be any better than 44% to beat BR2 no matter what he bet. So by betting 400 Lefty was a favorite to advance, because his odds of getting a push-lose swing against BR1 are added to his coin flip odds against BR2.

    Let's compare his odds of advancing with a bet of 400 to his odds of advancing if he bet 300. With a bet of 300 he is a virtual coin flip against BR1 adding that to his odds of getting a swing against BR2. So, with bets of either 300 or 400 he adds his odds of being a coin flip against one opponent to his odds of getting a swing against the other opponent if his coin flip fails.

    We'd better not forget the all-important double downs. Bets of 300 and 400 produce virtually identical benefits regarding double downs. This is because both bets must be doubled to cover BR2's double down. The fact that doubling 400 also covers BR1's single bet is irrelevant because if the double down of 400 is successful it covers BR2 - he doesn't need to beat both opponents.

    -BR1 took the high while overbetting her lead and offering Lefty the low
    -BR2 took the low while overbetting his lead and offering Lefty the high.

    So, the difference in the benefits between these two bets of 300 and 400 amounts to the difference between the probabilities of three players finishing lose-lose-win and three players all winning.
     
  14. LeftNut

    LeftNut Top Member

    I don't remember all that well, to tell the truth - very unusual as I'm generally good at that. Perhaps one of the guys who were spectating can help?

    What I do remember is that BR1 won her hand so she was golden. BR2 did just as I'd hoped, realized that he screwed up and reacted by trying a bad DD (hard 19) and busted. I won the hand and advanced.
     
  15. S. Yama

    S. Yama Active Member

    300 vs. 400

    "With a bet of 390 or more, Lefty was a virtual coin flip against BR2. If BR2 had bet only 170 Lefty couldn't be any better than 44% to beat BR2 no matter what he bet. So by betting 400 Lefty was a favorite to advance, because his odds of getting a push-lose swing against BR1 are added to his coin flip odds against BR2."
    Monkeysystem, as usual, clear and well phrased, except that BR2 could easily double his bet, taking away from that 44% win number.
    It is almost a “free double” for BR2, giving up only some hands that need more than one hit, and they are hands that lose to BR3 push or win or push against BR3 win. Even with some of the hands retaken back by BR3 winning double, altogether, total chances for bet of 400 are much smaller than 50%.

    "So, the difference in the benefits between these two bets of 300 and 400 amounts to the difference between the probabilities of three players finishing lose-lose-win and three players all winning."
    I don’t follow this. By saying lose-lose-win, who do you mean to lose? One or both, or all three, in what order?

    S. Yama
     
  16. Monkeysystem

    Monkeysystem Top Member Staff Member

    The Full Swing

    Lefty got the full swing against BR2. BR2 busted his hand on an irrelevant double down. It didn't surprise me to see BR2's mistake. He had no idea what the score was other than a cursury comparison of the sizes of different colored stacks of chips.

    He was drinking beer, and even ordered another one during the round.

    Lefty had a strong starting hand, which is probably why beerdonk (BR2) felt the need to hard double.
     
  17. Monkeysystem

    Monkeysystem Top Member Staff Member

    Trying to Simplify

    What I meant by lose-lose-win was the bet of 300 allows you to lose, as long as BR1 loses 500. Then it doesn't matter what BR2 does.

    There are hundreds of different combinations of lose, win, push, BJ, and double down outcomes and I tried to simplify - probably too much.

    I don't have a simulator that can run this. If someone does I'd love to see the results.

    The point I've tried to make with this whole teaser is that, because BR2 overbet his lead while taking the low, it made a high bet like 400 stronger than it would be if BR2 had bet properly. And it complicated the task of figuring this scenario out, especially under tournament conditions.

    A quick summary of the situation is this:

    Bets of 300 and 400 each gave Lefty 50% odds of beating one opponent while being correlated by the other one. This makes it a closer decision than if BR2 had bet 170.
     
  18. Monkeysystem

    Monkeysystem Top Member Staff Member

    Oops.

    I just caught myself. It was a free double, though I'm sure BR2 wasn't aware of it.

    Like Lefty my memory of some things that day is a little fuzzy. But I do remember the bankroll situation and bets clearly.

    Guess I killed too many brain cells that night at the bar drinking beer celebrating my final table payout. :laugh:
     
  19. London Colin

    London Colin Top Member

    Numbers

    If we ignore for the moment the possibilties for drunken double downs from either opponent, then isn't this what we have? -


    If you bet 400, then you absolutely must either push or win your hand to have any chance of advancing. That means that your chances of success are somewhere below 52%.


    If you bet 300, then you have a peculiar, even stronger variation of the Strong Form of Curt's Revenge, featuring two opponents rather than just the one.

    The strategy for this would be -

    • If both opponents look like winning their hands then you double for the high against BR2. (This will be true even if BR2 has doubled)
    • Otherwise take free hits until you have passed one of their totals.

    The normal Strong Form of Curt's Revenge gives a 55% chance, and the above must be even better than that.
     
    Monkeysystem likes this.
  20. Monkeysystem

    Monkeysystem Top Member Staff Member

    Simplified Analysis

    London, in your usual way you have made a most concise, accurate analysis. Put in this light 300 looks like the stronger bet, giving Lefty somewhere between 55 and 60% odds of advancing against less than 52% for 400.
     

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