55
49.99%
Wins 49.52%, ties 0.94%
T9o
50.01%
Wins 49.54%, ties 0.94%
55 against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 49.523 | 0.938 | 49.539 | 49.992 |
| T9o | 49.539 | 0.938 | 49.523 | 50.008 |
55 is a pocket pair and T9o is an offsuit hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is as close to a perfect coin flip as two starting hands get. Ties are part of the picture: 0.94% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, 55 is number 27 and T9o is number 78 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 61,055,000 | 1,156,000 | 61,075,000 |
| T9o | 61,075,000 | 1,156,000 | 61,055,000 |
Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 55 | 1.000 | 2.019 | 2.019 | 1.000 |
| T9o | 1.000 | 2.019 | 2.019 | 1.000 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
The flop changes the picture. T9o does best on rainbow flops topped by a ten or better, at 52.32%, and worst on low rainbow flops (nine high or lower), at 44.19%. The lead reverses on low rainbow flops (nine high or lower) and paired flops: there 55 is the favorite even though T9o is ahead overall.
| Flop | Share of flops | 55 wins | Ties | T9o wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 47.396 | 0.561 | 52.043 | 47.677 |
| Rainbow, nine or lower | 5.689 | 55.516 | 0.584 | 43.900 | 55.808 |
| Two-tone | 46.485 | 48.738 | 0.551 | 50.711 | 49.014 |
| Monotone | 5.151 | 46.651 | 2.071 | 51.278 | 47.686 |
| Paired | 17.334 | 53.625 | 2.303 | 44.072 | 54.777 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 60.33%, 55 changes by -10.34 points, and T9o, from 51.53%, by -1.52.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 49.992 | 60.325 | -10.333 | 0.82871 |
| 55, rainbow, ten or higher | 47.677 | 60.325 | -12.648 | 0.79034 |
| 55, rainbow, nine or lower | 55.808 | 60.325 | -4.517 | 0.92512 |
| 55, two-tone | 49.014 | 60.325 | -11.311 | 0.81250 |
| 55, monotone | 47.686 | 60.325 | -12.639 | 0.79048 |
| 55, paired | 54.777 | 60.325 | -5.548 | 0.90803 |
| T9o, all flops | 50.008 | 51.532 | -1.524 | 0.97043 |
| T9o, rainbow, ten or higher | 52.323 | 51.532 | +0.791 | 1.01535 |
| T9o, rainbow, nine or lower | 44.192 | 51.532 | -7.340 | 0.85756 |
| T9o, two-tone | 50.986 | 51.532 | -0.546 | 0.98940 |
| T9o, monotone | 52.314 | 51.532 | +0.782 | 1.01518 |
| T9o, paired | 45.223 | 51.532 | -6.309 | 0.87757 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (T9o at 50.10%) and 12 do not (49.54%). T9o does better with a shared suit, by 0.56 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | T9o wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 49.423 | 0.952 | 49.625 | 49.899 |
| No shared suit | 12 | 16.67 | 50.028 | 0.863 | 49.109 | 50.459 |
How often this matchup comes up
55 against T9o is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.
A worked example
Take a $200 pot built from $100 each. T9o's equity of 50.01% is worth $100.02, a $0.02 edge, and 55's 49.99% is worth $99.98, which is $0.02 under its stake.
Over a long run, 1,000 deals split into about 496 for T9o, 495 for 55 and 9 tied.
The same matchup from the other side
T9o against 55 adds nothing new: it is 50.01% for T9o and 49.99% for 55, the same figures reversed.
Keep exploring
Try 5s5h against Td9c in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Method: exact enumeration. The 72 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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