How it works:
Each day, Mike Caro deals a hold ’em starting hand, which is displayed on the Poker1.com home page.
When you click the link, you come to a page (like this one) that provides the statistics for that category of hand.
Then we ante $1 million and deal a five-player showdown.
IMPORTANT: This Poker1.com home-page feature is experimental. I haven’t decided whether it will appear daily after P1 officially opens, whether it will appear occasionally, or whether it will be abandoned. The decision will depend largely on the number of visits it receives.
Hands are posted soon after being dealt. Please let me know about any glitches. — Mike Caro
→ Jump down to today’s $5 million showdown
Anatomy of today’s hold ’em hand
Category1: K-J of mixed suits
Expected win rate2 vs. a random hand (heads up): 61% (50% is average)
Expected win rate2 vs. eight random hands (nine-handed): 16% (11.11% is average)
Odds against being dealt a hand in this category3: 109.5 to 1
MCU4 ranking against few opponents (limit): 20 of 169
MCU4 ranking against many opponents (limit): 23 of 169
MCU4 composite ranking (limit / all situations): 21 of 169
COPS5 units6 won or lost (limit / nine-handed): +0.12
COPS5 units6 won or lost (no-limit / nine-handed): -0.11
NOTE: Unlike the precisely accurate Mike Caro statistics found elsewhere at Poker1, the chart below was generated by simulating 1,000,000 deals randomly by computer.
When you compare today’s distribution chart to other days, you’ll notice slight differences in statistics that should be exactly the same. Keep this in mind next time you play poker:
Your luck probably won’t stabilize, even after a million deals.
Distribution chart of outcomes7
| Outcome |
(final strength) Chance of finishing |
with this outcome Heads-up win-loss |
with this outcome Straight flush |
0.01% |
98% |
Four of a kind |
0.13% |
97% |
Full house |
2.21% |
97% |
Flush |
1.94% |
92% |
Straight |
5.39% |
95% |
Three of a kind |
4.40% |
80% |
Two pair |
22.6% |
79% |
One pair |
44.6% |
No data1 |
No pair |
18.8% |
26% |
| 1This percentage is only provided for paired starting hands, because most other hands results can be heavily skewed by the possibility of board pairs. Although similar issues affect other final hand strengths, the statistics for them usually aren’t quite as misleading. NOTES: *For ties (i.e., “split pots”), chances are prorated in accordance with the share of the pot won. *This chart doesn’t differentiate between results using both starting cards, one starting card, and no starting cards (“playing the board”). *The win/loss rate for hands in a category ignores ties. | ||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ANATOMY NOTES:
1CATEGORY: There are 169 categories of hold ’em starting hands: 13 for pairs, 78 for non-paired cards of mixed suits, and 78 for cards of the same suit.
Categories have various numbers of members, depending on the suits and the order the cards arrive.
Therefore, there are 2,652 hold ’em starting hands that can be displayed at Poker1, assuming, as an example, that K-7 and 7-K are different. But, because order of arrival doesn’t really matter for hold ’em starting hands, there are actually only half as many combinations — 1,326 — that the 169 categories comprise.
2WIN RATE is based on computer simulation of one million deals through the showdown using Mike Caro’s Poker Probe software or another program based on the Mike Caro Poker Engine. When a hands ties, a portion of a win is credited. (Rounded to nearest percent.)
3ODDS AGAINST: There are only three possible likelihoods for any category of hand. They are 220-to-1 against a specific pair, 330.5-to-1 against any specific ranks of the same suit, and 109.5-to-1 against any specific unpaired ranks of mixed suits.
4MCU is Mike Caro University of Poker, Gaming, and Life Strategy.
The MCU rankings are for limit hold ’em. No-limit rankings are similar and often identical.
The composite category is a compromise between many and few opponents. So, it may seem strange that sometimes it can be higher or lower than both. That’s because it was determined by the actual strength relative to other composite hands, not by adding the two other rankings and dividing by two.
5COPS is Caro Online Poker Solutions — the cheating prevention system for online poker developed by Mike Caro and Bill Handy. Here’s a link to a Poker1 entry about COPS: → Go there.
6UNITS: The big blind is one unit. Therefore, +2.1 “units won or lost,” if applied to a $10 big-blind game, means the hand averages a $21 profit; -0.4 means it averages a $4 loss.
The units were calculated from a COPS database of hands played online. Some hands that are higher on the MCU rankings are misplayed and, therefore, lose more than worse hands (such as 7-2 of mixed suits) that are more often folded.
Unit information was supplied by Bill Handy, my COPS-project colleague. It is subject to revision.
7CHART OF OUTCOMES: The distribution chart lists the likelihood of outcomes from a royal flush down to no pair. The statistics reflect the final strength of the hand after all five board cards are dealt, whether both starting cards are used, one is used, or the board is played. To save time, I simulated 1,000,000 deals and, so, the statistics aren’t as precise as others found at Poker1.com that I personally calculated.
→ Jump up to anatomy of today’s hand
Today’s $5 million showdown
Now we enter today’s hold ’em hand in our imaginary $5,000,000 showdown.
You can treat it two ways: (1) as a substitute for astrology, signaling the kind of luck you can expect today; or (2) as amusement, like I do. Your choice.
Remember that — similar to real life — you only need to be lucky once in five days to break even. So, let’s ante $1 million and see what happens…
Today’s starting hands…
| ↓ Our hand ↓ | ↓ Amy ↓ | ↓ Bob ↓ | ↓ Cal ↓ | ↓ Deb ↓ |
|
  |
  |
  |
  |
| 30% chance | 23% chance | 10% chance | 8% chance | 28% chance |
(Note: A 20 percent chance is average at all stages.)
Starting hand comments
So, we start with the best chance of anyone. Many players think that an ace dominates, but that’s not always the case. Although Deb’s has the only ace, her 28 percent chance isn’t as good as our 30 percent. She has the highest rank, but we hold #2 and #3.
Additionally, if four hearts or four spades land on the board, we’ll have the high flush, while Deb’s flush hopes are damaged, because there are four other diamonds in opposing hands. Cal is suited, but his nine is outkicked on the pairing front.
Only our hand and Deb’s have the luxury of ranks that aren’t duplicated anywhere else.
Let’s see the flop…
| ↓ Our hand ↓ | ↓ Amy ↓ | ↓ Bob ↓ | ↓ Cal ↓ | ↓ Deb ↓ |
|
|
|
|
|
| 17% chance | 19% chance | 21% chance | 14% chance | 30% chance |
Flop comments
Well, that didn’t do us a bit of good. But we still hope to catch a king or a jack to salvage the day.
Deb has paired fives and is now the leader.
Bob has paired his four and added an open-end straight draw to move into second place. He can’t win by pairing his deuce, though, because that would give Deb a straight.
Show us the turn card…
↑ FLOP ↑ ↑ TURN ↑
| ↓ Our hand ↓ | ↓ Amy ↓ | ↓ Bob ↓ | ↓ Cal ↓ | ↓ Deb ↓ |
|
|
|
|
|
| 16% chance | 13% chance | 14% chance | 9% chance | 47% chance |
Turn comments
No help for us. In fact that card didn’t help anyone directly. Indirectly, it helped Deb by making her lead less vulnerable with only one card left for others to connect.
We still have a 16 percent chance of winning. We will need a king or a jack to make that happen.
Number of winning river cards: 6 of 38 remaining
We’re ready to ride the river…
↑ FLOP ↑ ↑ TURN ↑ ↑ RIVER ↑
| ↓ Our hand ↓ | ↓ Amy ↓ | ↓ Bob ↓ | ↓ Cal ↓ | ↓ Deb ↓ |
|
|
|
|
|
| Lost | Lost | Lost | Lost | — WON — |
Deb won the $5,000,000 pot — a $4,000,000 profit
Our pre-opening results so far: -$4,000,000 in 4 days.
Final poker words
That paired the board, which didn’t change the outcome. Deb ended up with two pair, fives and threes — with an ace kicker for good measure.
We’re getting a little tired of being dominated by Deb. She has won three out of four days. And we haven’t won yet.
Final real-life words
If you think it’s bad luck for us not to have won in the first four days, think again. Life is like that. It’s just a yawn, really. You can go weeks without feeling victorious.
In fact, when you think about it, your happiness and you success comes in spurts. In between, you’re just maintaining. And that’s the way it should be. — MC
Results after 4 days
| Us | Amy | Bob | Cal | Deb | |
| Wins | 0 | 0 | 1 | 0 | 3 |
| Result | -$4,000,000 | -$4,000,000 | +$1,000,000 | -$4,000,000 | +$11,000,000 |
| Days since last win |
— | — | 1 | — | 0 |
SHOWDOWN NOTES:
AMY, BOB, CAL, DEB: We play against these same opponents each day. The three-letter names were chosen because they substitute for players A (Amy), B (Bob), C (Cal), and D (Deb).
% CHANCE: The percentages given beneath each players cards are determined by simulation of 1,000,000 deals (5,000,000 individual hands), using Mike Caro’s Poker Probe software. They are rounded to the nearest whole percent, so it’s possible that some could have been very near the mid point and rounded up, when they should have been rounded down, and vice versa. In some cases, the percentages may not add to exactly 100 percent, because of the rounding.
Published by
