Monday, October 31, 2011

Right-sided high end plus

I've written before about being on the wrong side of a high end plus; last Friday night, I was on the right side of one. I hit it on the turn. The funny thing was, my opponent, who merely had the high end, was betting like he had the nuts. The only time I raised was on the river, and I only doubled his $6,000 bet; he then went all in and I called immediately. There was no way I could lose, since the board hadn't paired and there was no flush draw there. I figured all he had was the high end, and that he was going to learn a very expensive lesson. I won a pot worth $70,000, and got out of Dodge.

During current Hold'em session you were dealt 14 hands and saw flop:
- 1 out of 2 times while in big blind (50%)
- 1 out of 2 times while in small blind (50%)
- 6 out of 10 times in other positions (60%)
- a total of 8 out of 14 (57%)
Pots won at showdown - 1 of 3 (33%)
Pots won without showdown - 1

delta: $30,000
balance: $2,419,692

Friday, October 28, 2011

Boiling a frog

When I left my last job after more than 23 years, I had a fair number of goodbye conversations, both in person and via email. In one of the email exchanges, a longstanding colleague's congratulations were framed in a way that implied he didn't like working there much anymore; that led me to ask him why he was still at the company. He replied with a question; he asked me if I knew how to boil a frog. I didn't. He explained that you can't boil a frog by putting it in boiling water - it will immediately jump out. What you do is put the frog in warm water, then slowly and imperceptibly raise the temperature of the water until the frog is cooked.

This tactic can be used to remarkably good effect in poker as well. Last night, I boiled a frog on my penultimate hand. I'd been dealt a pair of nines, and a player who acted after me was leading the betting; I just called on the flop and the turn. The river was a nine, giving me a set. I simply checked, knowing my opponent would be putting in a river bet. I then raised him the amount of his river bet, and reraised his reraise by the same amount, at which point he simply called instead of reraising. My set of nines beat his pair of kings, and I won a pot worth $71,400. If I'd led the betting on the river, or raised bigger, I'm fairly sure he wouldn't have put so many chips into the pot.

During current Hold'em session you were dealt 54 hands and saw flop:
- 1 out of 8 times while in big blind (12%)
- 3 out of 8 times while in small blind (37%)
- 14 out of 38 times in other positions (36%)
- a total of 18 out of 54 (33%)
Pots won at showdown - 3 of 5 (60%)
Pots won without showdown - 0

delta: $35,700
balance: $2,389,692

Thursday, October 27, 2011

A chip and a chair

An old poker adage says that all you need to win is a chip and a chair, especially since Jack “Treetop” Straus pulled off this feat in the '82 championship.

James McManus, "Positively Fifth Street"

Last night, I didn't get all the way down to a single chip left. However, it sometimes felt that way; I'd work hard to bring my stack up near its starting amount, only to see it fall back again. The fact that I was able to end the night in the black was due to three qualities which begin with the letter p and one which begins with an l - patience, perseverance, pluck, and luck. I was underwater for 152 of the 176 hands I played (86%).

During current Hold'em session you were dealt 176 hands and saw flop:
- 31 out of 33 times while in big blind (93%)
- 25 out of 32 times while in small blind (78%)
- 87 out of 111 times in other positions (78%)
- a total of 143 out of 176 (81%)
Pots won at showdown - 16 of 40 (40%)
Pots won without showdown - 22

delta: $25,850
balance: $2,353,992

Wednesday, October 26, 2011

Imagination failure

Last night, I lost due to a failure on the final hand to imagine what my opponent had, even though his betting pattern was telling me plainly enough. I'd hit a stealth two pair on the flop, and it was the top two. I've been living off stealth twos lately, and was getting pretty complacent about them. I got into a betting war with one opponent after the flop, and finally decided to go all in. My complacency was informing me that he also had a stealth two, but with the top and bottom pair. Wrong! He'd flopped a straight, and it held up on the turn and river.

Now that it's over, I can talk about my latest winning streak. It's the second longest of my poker career, at 12. I really thought I had a shot at extending it long enough to hit the golden ratio; I only needed to win 5 more. I'm confident I'll hit the golden ratio before the end of the year.

delta: $-40,000
balance: $2,328,142

Tuesday, October 25, 2011

Take your time but hurry up

I've mentioned before a great saying I picked up from one of my high school math teachers: "Take your time but hurry up". He'd say it to the class before every test. The point was that you couldn't rush, but you also couldn't dawdle. This philosophy applies to many things in life besides math tests. It certainly applies to poker, especially when you've joined a table with some really high rollers (as I did last night). At such a table, the risk-taking of your opponents essentially forces you to take more risk to win a hand than you might normally take; the upside is that when you do win, you're more likely to win big.

The number of hands you play at a risk-taking table should be less than the number you'd play at a conservative table; the reason is that one of the following two outcomes should be quickly reached:

1. you hit the felt
2. you win a monster pot, and call it a night

On my penultimate hand of the night, I won a pot worth $106,000 with two pair, jacks and tens.

During current Hold'em session you were dealt 24 hands and saw flop:
- 2 out of 3 times while in big blind (66%)
- 1 out of 3 times while in small blind (33%)
- 8 out of 18 times in other positions (44%)
- a total of 11 out of 24 (45%)
Pots won at showdown - 2 of 3 (66%)
Pots won without showdown - 2

delta: $66,000
balance: $2,368,142

Monday, October 24, 2011

Back to black

With a huge chip gain on Saturday night, I went back to black on Saturdays in the aggregate. Now every weekday aggregate is in the black:

Sun: 66,928
Mon: 344,606
Tue: 95,176
Wed: 1,099,289
Thu: 114,521
Fri: 468,083
Sat: 24,797

Just as an aside, I really like the Amy Winehouse song "Back to Black".

During the course of Saturday night's session, my number of live chips reached an all-time maximum: $178,200. What I mean by live chips is the number of chips I had in play at the table, not the total number of chips in my bankroll. I wasn't able to sustain that height, but still managed to have my sixth best session ever.

During current Hold'em session you were dealt 113 hands and saw flop:
- 12 out of 16 times while in big blind (75%)
- 7 out of 15 times while in small blind (46%)
- 47 out of 82 times in other positions (57%)
- a total of 66 out of 113 (58%)
Pots won at showdown - 11 of 19 (57%)
Pots won without showdown - 4

delta: $105,798
balance: $2,302,142

Saturday, October 22, 2011

Highest and driest

Last night, I had another high and dry session - my third in the last four sessions. I hate to say it, but these are the good old days again. Why would I hate to say such a thing? Since I know these good old days can't last, at least at this insanely great (to steal a Steve Jobs instensifier) level. Of these three high and dry sessions, this latest saw me increase my stack by the largest amount; that's why I'm calling it my highest and driest.

On the penultimate hand of the night, I won a pot worth $28,500 with two pair, aces and eights. A winning two pair is recently my favorite way to end the night.

During current Hold'em session you were dealt 36 hands and saw flop:
- 5 out of 7 times while in big blind (71%)
- 3 out of 7 times while in small blind (42%)
- 11 out of 22 times in other positions (50%)
- a total of 19 out of 36 (52%)
Pots won at showdown - 5 of 5 (100%)
Pots won without showdown - 3

delta: $36,400
balance: $2,196,344

Friday, October 21, 2011

Pizza joint

Last night, on my penultimate hand, I won a pot worth $36,500 with a pizza joint. You might well wonder what I mean by that. As you know, I have fun making up my own poker lingo. I think this may be the first time I've made up a name for a hand. Back in the distant past, when I was a college student in Cambridge, there was a wonderful pizza joint named "Three Aces". Not only did it have great pizza, but it had some state of the art video games; that's where I first played Pac Man. I just googled to discover that "Three Aces" is no more; that's a shame. Sic transit gloria mundi!

I seem to have contracted a mild addiction to looking at the underwater percentage stat; last night, I had another high and dry session.

During current Hold'em session you were dealt 38 hands and saw flop:
- 4 out of 5 times while in big blind (80%)
- 5 out of 8 times while in small blind (62%)
- 20 out of 25 times in other positions (80%)
- a total of 29 out of 38 (76%)
Pots won at showdown - 4 of 6 (66%)
Pots won without showdown - 7

delta: $20,684
balance: $2,159,944

Thursday, October 20, 2011

Dolphin leap

In keeping with my recent use of aquatic metaphor, I ended last night's session with a dolphin leap. That is, I was underwater for most of the session, but managed to leap out of the water and into the sunlight at the end. The more I have sessions like that, the easier they seem. Almost the only requirement is plain patience! It's such a simple prescription, but not always easy to adhere to.

On the penultimate hand of the night, I won a pot worth $19,200 with two pair, nines and sevens.

During current Hold'em session you were dealt 61 hands and saw flop:
- 8 out of 10 times while in big blind (80%)
- 5 out of 9 times while in small blind (55%)
- 27 out of 42 times in other positions (64%)
- a total of 40 out of 61 (65%)
Pots won at showdown - 4 of 9 (44%)
Pots won without showdown - 2

delta: $9,100
balance: $2,139,260

Wednesday, October 19, 2011

High and dry

Last night, the session after I was inspired to come up with the underwater percentage statistic, I was underwater 0% of the time! I haven't checked exactly how rare that is for me, but I'm sure it's very rare. First, it requires winning the first hand, something that I should only be able to do one time in seven (since I invariably join a table with 6 players). Next, it requires not hitting a bad patch, and bad patches are endemic to poker. Finally, it requires the will to quit while I'm ahead, even though it's likely I'll want to continue playing. Add that all up, and I'd estimate that the odds of me having a high and dry session are about one in fifty. Of course, high and dry sessions aren't important; what's important is to have sessions in the black. Enough sessions in the black, and you get into the blue :-)

During current Hold'em session you were dealt 30 hands and saw flop:
- 2 out of 5 times while in big blind (40%)
- 2 out of 5 times while in small blind (40%)
- 11 out of 20 times in other positions (55%)
- a total of 15 out of 30 (50%)
Pots won at showdown - 3 of 4 (75%)
Pots won without showdown - 3

delta: $30,400
balance: $2,130,160

Tuesday, October 18, 2011

Underwater percentage

Last night's session inspired me to come up with another poker stat. I call this one the underwater percentage; that is, the percentage of times when your stack at the start of a hand is below its original amount. The most impressive underwater percentage for a winning session of the ones I've computed so far comes from the session I played the Saturday before last, when fully 120 of the 122 hands I played started with my stack underwater, for 98.36%. Last night, I was underwater for 76 of 85 hands, or 89.41%.

It's not a particularly meaningful stat, but it's still kind of fun to look at. The bigger the number, the more you have to be proud of, or thankful for, or some combination of the two. The thing is, you have to expect to be playing underwater the majority of the time; that's just the nature of poker. You have to wait your turn to win, and while you're waiting, you're underwater. It's certainly nothing to worry about.

On the penultimate hand of last night's session, I won a pot worth $19,000 with two pair, sixes and fours.

During current Hold'em session you were dealt 85 hands and saw flop:
- 16 out of 19 times while in big blind (84%)
- 14 out of 19 times while in small blind (73%)
- 35 out of 47 times in other positions (74%)
- a total of 65 out of 85 (76%)
Pots won at showdown - 9 of 16 (56%)
Pots won without showdown - 8

delta: $6,750
balance: $2,099,760

Monday, October 17, 2011

Desperation bets

On Saturday night, I doubled up on the third hand. I'd hit a set of sevens on the flop, raised to $800 that round, raised to $11,600 on the turn, and went all in on the river. The fact that I got a caller on the river really surprised me. Either that player was really bad, or he made a really bad read. Thinking it over, the only way his decision could have been based on a bad read was if he interpreted my river bet as a desperation bet. When you know your hand is beat, you either have to fold or make a desperation bet - a very large bet meant to dissuade callers. If you get called, you're toast. I very rarely make desperation bets.

The ironic thing is, if you're playing against someone who thinks he can read desperation bets, you're better off going all in with a strong hand than trying to make a value bet! I may have somehow sensed that that particular opponent would be fooled by an all in bet at that particular moment, but it's much more likely I simply lucked out.

After that huge pot, my stack descended slowly but surely back to its starting amount. It even dipped below it briefly. Shortly after I'd gone back into the black, the whole table quit on me.

During current Hold'em session you were dealt 86 hands and saw flop:
- 9 out of 14 times while in big blind (64%)
- 6 out of 13 times while in small blind (46%)
- 38 out of 59 times in other positions (64%)
- a total of 53 out of 86 (61%)
Pots won at showdown - 5 of 11 (45%)
Pots won without showdown - 9

delta: $3,400
balance: $2,093,010

Saturday, October 15, 2011

Into the blue

Last night, I went into the blue again. That's my shorthand for growing my stack to a new all-time high. From up there, all you see is blue sky. Getting into the blue is a great feeling; it makes you believe that anything is possible.

On the penultimate hand of the night, I made an ace high straight on the turn, called two all-in bets, and won a pot worth $74,800.

During current Hold'em session you were dealt 71 hands and saw flop:
- 13 out of 15 times while in big blind (86%)
- 8 out of 15 times while in small blind (53%)
- 27 out of 41 times in other positions (65%)
- a total of 48 out of 71 (67%)
Pots won at showdown - 6 of 7 (85%)
Pots won without showdown - 14

delta: $55,850
balance: $2,089,610

Friday, October 14, 2011

House on fourth street

One of the really fun things about poker is that there are multiple ways to describe the same thing, which you can vary at your whim. For example, another name for the river is fifth street, and another name for the turn is fourth street. Last night, in my penultimate hand, I made a full house on fourth street, went all in, and won a pot worth $49,600.

During current Hold'em session you were dealt 48 hands and saw flop:
- 6 out of 8 times while in big blind (75%)
- 4 out of 8 times while in small blind (50%)
- 13 out of 32 times in other positions (40%)
- a total of 23 out of 48 (47%)
Pots won at showdown - 3 of 8 (37%)
Pots won without showdown - 3

delta: $9,000
balance: $2,033,760

Thursday, October 13, 2011

Fwopping

Faithful readers of this blog will remember that fwep is an acronym I coined which stands for "fold with extreme prejudice". You might be guessing that since I'm mentioning fwepping, last night I might have fwepped a lot, but you'd be wrong. Last night, I fwopped a lot. Don't worry, I haven't told you what fwop stands for yet, so you can be forgiven for drawing a blank. Fwop stands for "fold without pain" (I know, I had to use a vowel from within a word in order to eke out a pronounceable acronym; sue me :-).

Folding without pain is when you have no regrets about folding, and not even a scintilla of doubt about the propriety of doing so. Fwepping has emotion attached to it, but fwopping has no emotion, just austere, beautiful, Vulcan-like logic. I foresee little fwepping in my poker future, but large quantities of fwopping. To paraphrase Corinthians, when I was a poker child, I bet as a child, I called as a child, and I folded as a child; but now that I'm a poker adult, I've put away childish things.

During current Hold'em session you were dealt 67 hands and saw flop:
- 6 out of 9 times while in big blind (66%)
- 4 out of 10 times while in small blind (40%)
- 16 out of 48 times in other positions (33%)
- a total of 26 out of 67 (38%)
Pots won at showdown - 3 of 5 (60%)
Pots won without showdown - 4

delta: $11,700
balance: $2,024,760

Wednesday, October 12, 2011

Wavelength

The title of this post comes from a classic song by Van Morrison which I like a lot. It's a song about how a man is turned on when his lover gets him on her wavelength. I never thought about it before, but I think it's pretty important who's the sender and who's the receiver. You notice it's not the man who gets the woman on his wavelength, but the woman who gets the man on hers.

I think there's a nice parallel here with Lady Luck. When I play my best poker, I'm not sending at all; I'm merely a receiver. That might not sound like a lot, but it's actually a very hard thing to do. It's the easiest thing in the world to tell yourself that you're a good player, but when you do so, you're sending (if only to yourself). Poker is all about receiving; you must receive as much information as you can, and only act when the information warrants it. You have to be patient, and wait for Lady Luck to get you on her wavelength!

On Saturday night, it took me 121 hands to get into the black; when I finally did, I won a pot worth $17,200 without a showdown. I had pocket rockets, and no one called my final bet.

Work has been busy lately, and I haven't had a chance to play; I've really been missing it and am psyched I'm going to play tonight!

During current Hold'em session you were dealt 122 hands and saw flop:
- 19 out of 23 times while in big blind (82%)
- 20 out of 24 times while in small blind (83%)
- 56 out of 75 times in other positions (74%)
- a total of 95 out of 122 (77%)
Pots won at showdown - 14 of 25 (56%)
Pots won without showdown - 19

delta: $9,600
balance: $2,013,060

Saturday, October 8, 2011

The land of the ones

Years ago (truth be told, decades ago), when I was in college, I occasionally played Risk with my friends. I'd never played it before college, and haven't played it since, but had fun playing it then. In case you don't know, it's a board game where the object is to conquer the world, played with dice and pieces representing army troops. The world is divided into countries, and you try to control as many countries as you can. Each country can only have armies of one of the players occupying it. To conquer a country, you have to use troops of yours from neighboring countries which you already control, and face them off against the occupying army. The battle is decided by dice rolls; if you roll a higher number than your opponent, you get to remove some of his troops from the board; if he rolls a higher number than you, he gets to remove some of your troops from the board. You conquer a country when you've removed the last of the enemy troops from it; at that point, you move troops of your own onto it from the neighboring country you attacked it from. You now control it. What often happens when a player starts conquering countries is that he'll extend himself too much, moving the bulk of his troops into the conquered country, leaving only a token force behind for defense in the country he attacked from. The smallest number of troops you're allowed to leave is one. What this strategy often creates is what one of my college friends dubbed "the land of the ones". This is when a player for the most part has only one troop in each of the countries he owns. If this player doesn't succeed in conquering the world, he's left himself open to devastating attacks from the other players; they can march through his countries like a knife through warm butter.

I like the phrase "the land of the ones". I like it so much that I'm going to use it in a new context, with a new meaning. In hold'em, at least as it is played on the PokerStars site, the maximum number of players at a table is nine. That means that, all things being equal, you should expect to win 1 out of 9 hands, or 11.11111111... percent of the time. Hence, the land of the ones. The trouble with the land of the ones is that this is a very low percentage, and it's easy to get used to the better odds when there are less than nine players at the table and then not sufficiently account for the worsened odds when the table fills up again.

As I've mentioned a couple of times before, I invariably join a table which has exactly 6 players; I become the seventh. Therefore, my poker radio is tuned to the frequency of winning 1 out of 7 times, on the average, or 14.28 percent of the time. If two more players join the table after me, I keep playing as if I still have 1 in 7 odds, and therein lies the trouble.

As you might expect from this long preamble, for most of last night's lengthy session, the table had the full complement of nine players. I played pretty well, but eventually hit the felt on the 94th hand. I then reupped for the max, but continued my descent. When I managed to bring my stack back up to $20K after falling all the way to $9K, I figured I'd seen the best of my luck and called it a night.

During current Hold'em session you were dealt 135 hands and saw flop:
- 8 out of 17 times while in big blind (47%)
- 9 out of 19 times while in small blind (47%)
- 50 out of 99 times in other positions (50%)
- a total of 67 out of 135 (49%)
Pots won at showdown - 4 of 12 (33%)
Pots won without showdown - 5

delta: $-60,000
balance: $2,003,460

Friday, October 7, 2011

Home sweet home

Last night, I made a triumphant return to hold'em. I immediately felt at home, and didn't detect any rust in my game. It certainly didn't hurt that I got dealt some awesome hands! In one hold'em session, I made more play money than I had in thirty deuce sessions. I should really just stick to the game I know and love the best. Three million play dollars, here I come!

During current Hold'em session you were dealt 60 hands and saw flop:
- 8 out of 14 times while in big blind (57%)
- 9 out of 12 times while in small blind (75%)
- 22 out of 34 times in other positions (64%)
- a total of 39 out of 60 (65%)
Pots won at showdown - 7 of 15 (46%)
Pots won without showdown - 9

delta: $40,487
balance: $2,063,460

Thursday, October 6, 2011

A moratorium on deuce

Last night, I lost my fourth deuce session in a row to fall back to the golden ratio in deuce (20 winning sessions, 10 losing sessions). I'm going to take a moratorium on deuce for a while; I'm tired of losing. I really miss hold'em, so that's what I'm going to go back to playing. Deuce was a fun experiment, but I find the luck ratio in the game is just too high for my taste. This is essentially a repeat of my experience with Omaha, with the exception that I'm sure I won't go back to Omaha, but may give deuce another try sometime.

During current 2-7 Triple Draw session you were dealt 45 hands
Pots won if drawing - 3 of 23 (13%)
Pots won at showdown - 1 of 7 (14%)
Pots won without showdown - 2

delta: $-8,000
balance: $2,022,973

Wednesday, October 5, 2011

Frisky early's evil twin

Last night, I was frisky early again, and it cost me. The problem was that I was frisky early in two different ways, and one of them is an evil twin. It's okay to be frisky early in a session; however, it's very bad to be frisky early in a betting round. Why? The reason's simple - because you don't know how many people acting behind you might get frisky too. While there are many hands which you wouldn't feel bad about going heads up with, there aren't too many you'd feel good about going up against two or more opponents with. The odds of you winning drop dramatically with every additional opponent. This leads to my very latest deuce rule: never call a big bet or raise when you're not the last person to act unless you have a super strong hand (i.e., a #1, #2, or #3).

I hit the felt on my very first hand of the session, acting frisky early in both the good and the bad sense. Actually, I doubly misplayed this hand; not only were there people to act after me, but someone who acted before me had already called the big bet of the player who opened the betting. Not only was I guaranteed to be going up against two opponents, there was a chance I'd be going up against more than two. As it turned out, four of us went to showdown; clearly, horrendous odds. I hope I've learned my lesson!

During current 2-7 Triple Draw session you were dealt 45 hands
Pots won if drawing - 12 of 33 (36%)
Pots won at showdown - 9 of 21 (42%)
Pots won without showdown - 3

delta: $-2,085
balance: $2,030,973

Tuesday, October 4, 2011

Deuce fool's gold

Last night, I played great except for one hand. On that hand, I fell victim to deuce fool's gold. I was dealt 7 5 2 Q T, and a player with more than twice my chips raised to just over $2K before the first draw. I couldn't stop myself from calling; my eyes had gotten "as big as saucers" when I saw that I had three cards to a #1. My opponent stood pat on every draw; he'd been dealt a 9 low. The best I could come up with was a pair of sevens. Felt city. I lost $4,620 on the hand.

My new rule is that I won't call big raises before the first draw unless I have four cards to a 7 low (or better). On a positive note, I managed to obey my recent all-in percentage rule; I went all in on just 3 of 83 hands, for 3.6%, well below my cutoff of 7%.

During current 2-7 Triple Draw session you were dealt 83 hands
Pots won if drawing - 20 of 58 (34%)
Pots won at showdown - 10 of 19 (52%)
Pots won without showdown - 11

delta: $-2,224
balance: $2,033,058

Monday, October 3, 2011

Two deadly hands

On Saturday night, I played 89 hands. I lost massive amounts of chips on two of them. If those two hands had somehow never occurred, I would have lost a mere $170 on the night. Since they did occur, however, I lost a hefty $8,000. Looking back over the hand histories of those two deadly hands, I see that I got frisky on the first one, but played the second one soundly.

What I did wrong on the first deadly hand was to make a big bet after the third draw, when I'd stood pat. I had an 8 6 5 4 3, which is certainly a reasonable hand, but not a hand to bet heavily on. I lost to a 7 low. If I'd had the sense to check, and the 7 low had bet heavily, I might have had the additional sense to lay down the hand. As it actually played out, however, my big bet essentially had me pot-committed when the 7 low raised to put me all in.

On the second deadly hand, I was subjected to some cruel and unusual treatment (that's a favorite phrase of my father's, by the way). My 7 6 5 3 2 low lost to a 7 6 4 3 2. To rub salt in the wound, the winning hand was made on a 3 discard draw. The odds of that happening are minuscule.

It feels like I've entered the poker doldrums, when one's winning percentage tends towards what I call the lead ratio - one winning session per losing session. Don't get me wrong, though; I'm not discouraged. I know I'll break out of the doldrums sometime.

During current 2-7 Triple Draw session you were dealt 89 hands
Pots won if drawing - 14 of 63 (22%)
Pots won at showdown - 10 of 19 (52%)
Pots won without showdown - 4

delta: $-8,000
balance: $2,035,282

Saturday, October 1, 2011

All-in percentage

Last night, I had a nice rebound from the disaster of the session before it. I didn't hit the felt once, and almost quadrupled my starting stack amount. The contrast between the two sessions inspired me to come up with a new (at least to me) poker statistic - all-in percentage. In the disaster session, I went all in on 20 of the 117 hands, for a whopping 17%. In last night's session, I only went all in on 2 of the 31 hands, which is a mere 6.5%.

My latest deuce rule of thumb - keep your all-in percentage at or below 7%.

During current 2-7 Triple Draw session you were dealt 31 hands
Pots won if drawing - 7 of 31 (22%)
Pots won at showdown - 4 of 12 (33%)
Pots won without showdown - 3

delta: $7,285
balance: $2,043,282