constructicons
constructicons
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May 31st, 2010 at 10:06:10 AM permalink
A blackjack tournament has the following rules:
Each player starts with ten $100 chips
The player with the most chips after 7 hands wins the tournament prize. There is no second place prize.
Blackjacks pay 2 to 1
No limit on bets but minimum bet is $100
After each hand, the order of first bet rotates among the players.
After 6 hands, each player's chips are counted in case each player goes "all in" in the 7th hand and game ends in a tie that the chip leader after 6 hands wins.

Say after 6 hands, I have 20 chips or $2000. The player with the 2nd most chips has $1400. The last remaining player has $800.

I figured this is the forum for the mathematically challenged. I am the chip leader and I have the first bet which the remaining players will place their bets based on mine for the 7th and final hand.

What is the optimum bet I should make for me to win this tournament and why?
miplet
miplet
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May 31st, 2010 at 10:16:34 AM permalink
More info might me needed. Can you double after split? Surrender? http://www.blackjacktournaments.com might be a good place to start learn tournament strategy.
“Man Babes” #AxelFabulous
constructicons
constructicons
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May 31st, 2010 at 10:40:18 AM permalink
No insurance or even money.

Double down for less than original bet.

Split up to 3 times for a total of 4 hands.

Original bet must be matched for split hands.


I just wanted to know what would the bet would be since I bet first without knowing what the second player bets. Am I to assume the player with $1400 goes all in?
constructicons
constructicons
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May 31st, 2010 at 10:44:27 AM permalink
No surrender
constructicons
constructicons
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May 31st, 2010 at 10:45:03 AM permalink
No double down after split.
Wizard
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May 31st, 2010 at 10:52:04 AM permalink
Quote: constructicons



Say after 6 hands, I have 20 chips or $2000. The player with the 2nd most chips has $1400. The last remaining player has $800.



I would bet $801. The general rule when more than one player has more than half your chips (which I assume to be the case), then bet the number of chips of the second player player, minus your lead, plus $1. In this case $1400-$600+1=$801. That way if you win your hand, you'll win the tournament, unless the second player player bets big and gets a blackjack.

Quote: constructicons

As I said before, 3 players remain. I have $2000. The 2nd most chips has $1400. The 3rd most has $800.



You later added the above. I previously thought the last place player had $800, and other players had between $800 and $1400. In this case, I would "take the low" and bet $599. That way you require the second place player to win his hand. It is more likely he will lose than win.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
constructicons
constructicons
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May 31st, 2010 at 10:53:29 AM permalink
As I said before, 3 players remain. I have $2000. The 2nd most chips has $1400. The 3rd most has $800.
constructicons
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May 31st, 2010 at 11:14:00 AM permalink
In this tournament, all the chips used were $100. There were no $1, $5, $25 chips being used.

The issue I have the first bet. The player with $1400 will place his bet after I place my bet and I cannot change my bet once I place it.

I was thinking since I had the chip lead after the 6th hand; I win in the event of a tie which is why the chip count is recorded. I bet $800 to cover the $1400 player in case he goes all in. There is no guarantee he will but my $800 bet stands.

One opinion I was told the best bet is to bet 1 chip or $100 because the other players have to bet big stakes to win and beat me. I can lose my hand and still win.

In this situation, I just wanted to know if $800 or $100 is the most optimum bet.
miplet
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May 31st, 2010 at 11:26:10 AM permalink
If you bet $800, the other player can bet $100 and take the low.
“Man Babes” #AxelFabulous
thecesspit
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May 31st, 2010 at 11:27:13 AM permalink
Quote: constructicons

In this tournament, all the chips used were $100. There were no $1, $5, $25 chips being used.

The issue I have the first bet. The player with $1400 will place his bet after I place my bet and I cannot change my bet once I place it.

I was thinking since I had the chip lead after the 6th hand; I win in the event of a tie which is why the chip count is recorded. I bet $800 to cover the $1400 player in case he goes all in. There is no guarantee he will but my $800 bet stands.

One opinion I was told the best bet is to bet 1 chip or $100 because the other players have to bet big stakes to win and beat me. I can lose my hand and still win.

In this situation, I just wanted to know if $800 or $100 is the most optimum bet.



I'd bet either $800 or $300. $800 because of the example the Wizard gives... $300 is the same as $100 for losers, but $300 also means the person in 3rd place can't beat you if you lose and he wins all in (barring naturals) AND the player in second place can't bet $700 and still have enough to make a full split or double. if you win your hand your on $2300, which requires $1000 bet from 2nd place to pass you.
"Then you can admire the real gambler, who has neither eaten, slept, thought nor lived, he has so smarted under the scourge of his martingale, so suffered on the rack of his desire for a coup at trente-et-quarante" - Honore de Balzac, 1829
constructicons
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May 31st, 2010 at 11:34:02 AM permalink
I will consider the $800 bet is not optimum.

What about the $600 bet the Wizard later added?

Would the best bet be $300 or $600?
Robmorrow
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May 31st, 2010 at 11:50:20 AM permalink
I always go with the low if I have the lead. Just bet 1 chip which is 100.

So did you end up winning?
constructicons
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May 31st, 2010 at 12:31:31 PM permalink
This was a blackjack tournament on a cruise. This was my brother-in-law's scenario with the $2000 chip lead. One of the big rules is NO COACHING. I think he panicked. He saw the 2nd place's $1400 in chips and he bet $1500 because he wanted to win so badly. I had to close my eyes and bite my tongue. Playing smart, the 2nd place guy bet $100 (1 chip). With nothing to lose, the last guy bet his entire $800. The dealer dealt himself a 20 and wiped the whole table out. The winner had $1300 and my brother-in-law lost with his $500.

Everyone told him he should have bet just 1 chip. He was stubborn that his $1500 bet was right. They were trying to show him that the other guys have to win their hand to win the tournament.

Without any analysis, I told him I would have bet $800 based on how the leader bets in Final Jeopardy to win by $1 thinking the 2nd place guy bets everything. I told him that he has to give himself the best chance to win the tournament even if he loses his hand. Since he did not have $2900, he is not a guaranteed winner. He never even considered that in the event of a $2800 tie he would win since he had the most chips at the end of the 6th hand.

I am happy to see the analysis of why the $300 and $600 bets were more optimum than the $800 bet.
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