Bet big, bet small...
Rookie789, going to the last hand you were faced with two basic options:
1) Bet 100 to become the fourth best score at 2,200 if won or fifth if (pushed) lost at (2,100) 2,200
2) Bet at least 500 to become BR3 at 2,600 if won or BR5 at (2,100) 1,600 if lost.
There would be two more rounds and twelve contenders challenging your score afterwards.
Players that are not members of Ken’s site would be more timid and a bit reluctant to push out their money to get to the right score. Nevertheless, most of them would recognize the necessity to win enough chips to better the fifth best score.
If you would have your opponents playing optimally against you, even if you won your 100 bet, they would take turns playing like this: bet max (500) first hand, bet max (1,000) second hand, use progression betting 250/500/750/250/500…to end up with 2,250
Chance for getting to 2,250 from starting bankroll of 500 is about 22%. Starting the chase every second or third hand there would be 95% certainty that at least one of your opponents would surpassed you. Well, that’s a fantasy.
In reality, perhaps two-thirds to three-quarters of the players would give themselves a chance to score more than 2,200 by winning one bet. Since 2,175 and 2,200 are so close your opponents would go for the fourth spot. It means they would try to get to (or drift to) at least 1,225 before the last hand and then bet enough to end up with more than 2,200 if the bet is won. So, about a third of the eight to nine players would have more than 1,200 and take the shot at you. If three successful players try to put the nail in you coffin not on the same hand -two of them would have overcome you about 61% of the times, leaving you only about 40% chance of advancing to the final.
If you lose your 100 bet your chances would be slightly smaller.
Now, if you bet more than 500 and lose you would be still in fifth place but your chances of advancing would be virtually zero. If you push then size of your bet really doesn’t matter, does it?
If you win your bet you elevate yourself to the third spot. Since you can’t afford to lose you should opt to bet maximum, especially that you have enough founds for a defensive split. Winning 1,000 sets you so high that your score, short of rare “accidents†would be unchallenged by your opponents and if you win a double or get a blackjack you would have the second highest score. Playing a hand and using basic strategy makes you a winner more than 43% of the times.
Even better, if you had found yourself with 2,100 before going to the last hand your chances of becoming BR3 were much greater.
In accordance to Ken’s post, that your play depends on degree of aggressivness used by your opponents, to justify you choosing a minimum bet you would have to estimate that about half of the remaining players would not try to challenge your score aggressively enough.
S. Yama