Interesting options.
Congrats gronbog on another win/cash placing!
At first glance I see three possible bets.
1) Bet 900 – have low to both players and doubled bet win covers opponents’ max bet.
2) Bet 2,500 have high for single bet wins, high on all winning doubled bets, and bj covers BR3 doubled all-in.
3) Bet 2,100 is as above except bj vs. BR3 double, but it allows us to keep back more chips, which in many cases may lure other players to bet big giving BR1 low.
4) And for fun we may consider not so good bet of 1,300-1,500
This is where my game could really improve. I need to start thinking less mathematically and start learning to read my opponents.
Bet 1
Two players’ outcomes (basic strategy) both win 29%, only one of them wins 29%, both lose or push 42%.
With the prize structure provided the value of this bet is about $15K. Considering that BR2 and BR3 will fight for/ try to protect chance for the first place and double more than basic strategy, plus BR1 winning doubled bet and opponents not winning doubled bets, the value of this bet is over $16K.
This is what I ended up doing. I decided I didn't want to give up the low to BR3 and since BR2 was so close I decided not to give up the low to BR2 either. I ended up betting 925 (precise betting is allowed in this tournament, but I didn't see any advantage in making change to bet 945).
Bet 2
The key to success with this bet depends on how our opponents bet and play.
If the opponents bet giving us low and play basic strategy without doubling value just from taking first place is about $16.5K and another $2K plus from 2nd and 3rd place.
If the opponents double any of their hands and BR1 doubles selectively the value goes to over $20K.
But if the opponents take low then the value of this bet goes down to about $14K.
This is probably what I should have done. Most players in this tournament are not skilled, but have noticed that more doubling occurs on the final hand than usual. Many of them bet big and double on the final hand whether they need to or not, simply because they think they're supposed to. I could have leveraged this tendency here.
Bet 3
It is somewhat similar to Bet 3 but depending on the “read” on your opponents may cause different responses, motivating them or discouraging from making big bets giving BR1 the low.
Bet 4
In the worse case scenario when BR2 bet max and BR3 takes low the value of this bet is below $11K.
I did not consider either of these.
The best bet in most tournaments would be a decisive “let see who wins the last hand” 2,500, but in some cases 2,100 would work better, then, against opponents responding taking high and low -betting 900 is optimal.
I knew that the percentage for play to win (~43%) was slightly better than both opponents losing (~42%). In the future I will likely favour this option, simply because it relies more on my play and less on the response of my opponents.
What actually ended up happening was this:
Me: BR: 5950: Bet 925: Cards: Hard 15
BR2: BR: 5000: Bet 2500: cards: 11
BR3: BR: 4800: Bet 2000: cards hard 15 (note, he under bet me???)
Dealer 7
I stood, figuring my hand was irrelevent vs BR2 and attempting to correlate BR3.
BR2 doubled and got a face for 21 -- my heart sank
BR3 hit and busted
The dealer revealed a 4 under for 11 -- my heart rose -- I begged for the face card that would push BR2 and give me victory
The dealer then pulled a 7 for a total of 18.
Excitement -- you bet!