So I played in another Texas Holdem tournament on Saturday. I didn’t do well. I only won one or two pots which weren’t very big all afternoon. I was playing fairly conservatively, trying to survive and pick the right pots in which to get involved, but it didn’t work out. Read the rest to see my mathematical analysis of why my style of play didn’t work and why I didn’t like the format of the tournament as it encouraged players to make bad decisions and increased the luck factor over skill.
In this particular tournament which started with something like 43 players, we started with 10,000 in chips each. Blinds were $200 and $400 in the first round and there was an ante of $100. That last bit is crucial.
While I don’t have a hard and fast list of hands I’ll play and won’t depending on position, I do have general guidelines I use which of course I try to adjust based on things like who is at my table and if I’m sensing strength or weakness from a player and also simply to mix up my play so I’m not so predictable. Since I play fairly carefully (tight) in the early stages of a tournament, I wasn’t playing many hands. In fact I wrote a quick Perl script to calculate what percentages of hands I was seeing that were “playable.” This, of course, doesn’t take into consideration position. It simply deals 1,000,000 hands to me and compares each one with a list of “playable” hands, counting how many times I am dealt one.
#!/usr/bin/perl -l
$num_hands = 1000000; # Number of hands to deal
@playable_hands = qw(AA KK AKs QQ AK JJ TT AQs 99 AQ 88 AJs
77 KQs 66 ATs 55 AJ KQ 44 KJs 33 22 AT QJs);
for (1..$num_hands) {
shuffle();
$hand = hand();
$n++ if (grep(/^$hand$/, @playable_hands));
}
print "Percentage: ". ($n / $num_hands) * 100;
sub shuffle {
@deck = permute(qw(AS 2S 3S 4S 5S 6S 7S 8S 9S TS JS QS KS
AH 2H 3H 4H 5H 6H 7H 8H 9H TH JH QH KH
AC 2C 3C 4C 5C 6C 7C 8C 9C TC JC QC KC
AD 2D 3D 4D 5D 6D 7D 8D 9D TD JD QD KD));
}
sub is_suited {
return (suit($deck[0]) eq suit($deck[1]));
}
sub suit {
local $_ = shift;
s/.(.)/$1/;
return $_;
}
sub card {
local $_ = shift;
s/(.)./$1/;
return $_;
}
sub hand {
local $hand = card($deck[0]).card($deck[1]);
local $hand = $hand . "s" if is_suited();
return $hand;
}
sub permute {
my @list = @_;
my @permuted = ();
while (@list){
push(@permuted, splice(@list, rand @list, 1));
}
@permuted;
}
The output was:
jamin@localhost 10:03AM% bin/holdem_stats.pl Percentage: 9.2179
I lasted about 2 hours in the tournament. If we estimate that our table was playing about 30 hands per hour, that equals 60 hands total before I was eliminated. I have two points to make:
-
60 * .092179 = 5.53074
-
60 * $100 = $6,000
That’s right, during the two hours, I saw about 5 or 6 hands that were in my list of hands that I’m looking for as being “playable.” And over the course of 60 hands I spent $6,000 of my original stack of $10,000 on the ante alone. If you take into account the small and big blinds that’s an extra $4,500 or so on top of that.
So because of the antes I just don’t have the time to sit around waiting for an outstanding hand. Which is exactly what happened. Now, I also ran into some bad luck. AK failed to connect with the flop twice and I was forced to fold after heavy betting ensued. Pocket queens met a flop of AKK where once again heavy betting ensued between two other players and I was forced to fold.
So if I play in that format again I’m definitely going to have to adjust my play. I’ll probably loosen my opening requirements and play more aggressively. I’ll limp in more often with low suited connectors trying to connect with the flop. Or maybe I’ll go all-in sooner in an attempt to either double up early or at least win the blinds and antes. But I’d definitely prefer to play in a format that doesn’t encourage players to play hurriedly from the get-go. I don’t want to be forced to play a hand early on for which I’m at a disadvantage.
Tags: Poker
August 3rd, 2004 at 12:02 pm
Antes and limits are death in hold ‘em.
Your list of playable hands is pretty small - with $1000 in the pot from the get-go, and $100 of that being yours, Ace anything (well, A7 or better, let’s say) is worth a shot. And K high is good to go with 1à or better, even when they’re not suited.
Just that brings your hand playing percentage to 11.3% and you’re giving yourself a decent chance of breaking even on your antes.
Playing 9% of your hands means, as you said, that all your money is gone before you’ve had a chance to play any hands. Antes force you to play riskier, because there are no really small pots.
Of course, if you take a flop with $500 in the pot and you’re holding A8 off-suit, and it’s not nice for you, get out of there quick if people start betting heavily. But the chances are any pair will win about 30% of all pots (that’s just a rough guess based on feeling, no maths involved).
Dave.
August 3rd, 2004 at 12:24 pm
Makes sense, Dave. I am not used to playing with the antes and I think I definitely learned a lesson about how much of a difference they can make. If I play in that format again I’ll definitely be looking to see a flop on the cheap with hands like A - anything (suited), just about any suited connector, etc. And putting more value on having even just one ace or king.
August 3rd, 2004 at 11:15 pm
David Sklansky’s “Hold ‘em Poker” is a quick read, and will introduce another idea into your play - betting position vs. the playability of the hand. That style of thinking alone is worth the cost of the book. It’s short and sweet, and will probably improve your play (I’ve went from horrible to lousy, an improvement in my ad-hoc scale
August 3rd, 2004 at 11:16 pm
Oops. Just reread your post - your purposely ignoring position. Sorry!
August 4th, 2004 at 1:45 am
George, position is something I do take into consideration when I am actually playing, but it’s something I’ve not really mastered by any stretch of the imagination and from what I have read it’s a key aspect of holdem, particularly with no-limit. I definitely need to read Sklansky’s book as it’s a classic…