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55 vs 87s

55
VS
87s
49.8%
equity for 55 — 87s takes 50.2%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

55 Win
49.1%
Tie
1.3%
55 Lose
49.6%
Card combinations
24
55 vs random
60.3% · #27
87s vs random
47.9% · #101
Breakdown

Win, tie and loss for 55

Win 49.1%Lose 49.6%

When 55 and 87s get all in before the flop, 55 wins 49.8% of the time and 87s takes 50.2%. Broken down, 55 wins outright 49.1%, chops 1.3% and loses 49.6% — a margin of -0.4 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 49.6% (for example 5s 5h against 8d 7d); with one shared suit it is 50.0% (5s 5h against 8s 7s). That is a spread of 0.36 points across the 24 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes 55 34.5%, 87s 36.1%, random 29.4%. 55 gives up 15.3 points and 87s gives up 14.1, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, 55 is worth 60.3% against a random hand (rank 27 of 169) and 87s is worth 47.9% (rank 101). The gap between them in the ranking is only 12.4 points, yet head to head the gap is 0.4 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, 55 scoops roughly 49 pots, splits about 1, and loses the remaining 50. Against eight random opponents rather than this one specific hand, 55 would be down to 13.2% and 87s to 14.0%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 87s's side, 50.2% is the break-even point for calling an all-in at 0.99:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 50.2% of the pot you are playing for. 55 holds the other 49.8% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes 87s really does hold exactly 87s; against the wider range a player would actually get all in with, 55's 49.8% moves. Use the individual pages for 55 and 87s to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombos55 EquityWinTieLose
No shared suit5s 5h vs 8d 7d1249.6%49.0%1.2%49.8%
One shared suit5s 5h vs 8s 7s1250.0%49.3%1.4%49.4%
Flop and turn

Who leads on each street, and how often it flips

Exact counts from the 48 unseen cards: all 17,296 flops × 990 turn-and-river pairs, and all 194,580 four-card turns × 44 rivers, for every suit combination — no simulation.

When the three flop cards are out, 55 is ahead 67.4% of the time and 87s 32.6%, and the two hands are never level on the flop. "Ahead" means the better best-five-card hand from the cards showing plus the two hole cards; draws are not counted.

When 55 leads on the flop, 87s comes back on the turn and river 31.4% of the time. When 87s leads on the flop, 55 turns it around 12.0% of the time. The hand in front holds on to win 73.7% of the time from the flop and 84.7% from the turn (level spots left out).

With the turn out, 55 leads 57.6% and 87s 42.4%. Counted exhaustively, 55 finishes with 49.76% equity (the 49.8% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 73.7%, flips 25.1%
After the flopHow often55 winsTie87s wins
55 ahead67.4%67.1%1.54%31.4%
Level (same hand)0%Never happens
87s ahead32.6%12.0%0.697%87.3%
On the turn — lead holds 84.7%, flips 14.1%
After the turnHow often55 winsTie87s wins
55 ahead57.6%79.7%1.40%18.9%
Level (same hand)0%Never happens
87s ahead42.4%7.53%1.08%91.4%

"Ahead" compares the best five-card hands available at that point (draws are not counted). "Flips" is the share of leads that end in a loss, with level spots left out.

Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

55
34.5%
vs heads-up -15.3pt
87s
36.1%
vs heads-up -14.1pt
Random third hand
29.4%
Player count

At a bigger table

Random opponents5587s
160.3%47.9%
240.1%33.7%
422.6%22.4%
813.2%14.0%

Related

FAQ

55 or 87s — which is ahead preflop?

87s is the favourite. 55 takes 49.8% and 87s 50.2%, a margin of 0.4 points, with 1.3% of hands ending in a chop.

Do the suits change 55 vs 87s?

Yes. With no shared suit it is 49.6%, and with one shared suit it is 50.0% — a swing of up to 0.36 points.

What happens three-way?

With one extra random hand in the pot the split is 55 34.5%, 87s 36.1%, random 29.4%. 55 drops 15.3 points compared with heads-up.

How often does the flop leader lose in 55 vs 87s?

The hand ahead on the flop goes on to lose 25.1% of the time (level spots left out). When 55 leads, 87s comes back 31.4%. When 87s leads, 55 comes back 12.0%. Exact counts over every flop, turn and river.

424 words / 32 distinct figures — Method