luckadjusted
Premier League Matchday 5 · 2026-27

Matchday 15 · Premier League 2015-16 · December 5, 2015

Arsenal 3–1 Sunderland: who deserved to win?

Arsenal beat Sunderland 3–1, and the replays back it up: with the way both teams played, Arsenal win 7 of 10, 2 end level. Arsenal made the better chances: 1.8 expected goals to 0.9. An own goal helped Sunderland.

Full time

TeamGoalsxG
Arsenal 3 1.84
Sunderland 1 0.88

December 5, 2015 · Emirates Stadium · Referee: Robert Madley

Luck index +23 Arsenal about even · −23 Sunderland

Each team’s own shots from this match, resampled into new matches 4,000 times, each a goal at its expected-goals chance: with the way both teams actually played, how often does this performance win? How the replay works

Ten replays. Arsenal win 7, 2 end level, Sunderland win 1.

  1. 1 ARS 1 SUN 0
  2. 2 ARS 1 SUN 0
  3. 3 ARS 2 SUN 0
  4. 4 ARS 3 SUN 1
  5. 5 ARS 2 SUN 0
  6. 6 ARS 3 SUN 0
  7. 7 ARS 4 SUN 0
  8. 8 ARS 0 SUN 0
  9. 9 ARS 1 SUN 1
  10. 10 ARS 1 SUN 2

The narrowest view of luck

The same match, with only the coin flips re-rolled: every shot kept where and how it was taken, its outcome redrawn at its chance (75% of finishing counts as luck), own goals at the league’s rate.

There is no betting line for this match, and no forecast from before kickoff: matches of past seasons are replayed, not forecast.

How 4,000 replays of the 90 minutes ended

Arsenal win 68%, 19% end level, Sunderland win 14%. The line is what actually happened: Arsenal by 2.

Show as a table
After 90 minutes in the replaysShare of replays
Arsenal by 3+23.1%
Arsenal by 220.6%
Arsenal by 124.1%
Draw18.7%
Sunderland by 19.8%
Sunderland by 22.8%
Sunderland by 3+1.0%

Where the luck was

FinishingShotsGoalsExpected goalsAbove expected
Arsenal1631.84+1.16
Sunderland1000.88−0.88

Own goals aren’t shots, so they’re counted on their own. A side above expected finished better than its chances, or met a goalkeeper on a bad day; 75% of the gap counts as luck (why that share).

The big chances, and every goal

MinuteChancexG
32'Joel Nathaniel Campbell Samuels scored from a shot0.15
62'Olivier Giroud scored from a shot0.12
92'Aaron Ramsey scored from a shot0.49

When it happened

Arsenal’s chance of winning

Numbers mark the biggest luck moments, listed below.

Our in-game win probability: the score and the minutes left, with goals for the rest of the match at the league’s rates. A draw counts half, as in the replays. Shaded above the middle while Arsenal was ahead in it, below while Sunderland was.
#WhenWhat happenedWin probability for
1 8' Duncan Watmore didn’t score from a shotFinishing · 15% chance +4% ARS
2 32' Joel Nathaniel Campbell Samuels scored from a shotFinishing · 15% chance +22% ARS
3 44' Own goal by nan, for SunderlandOwn goals · own goals are rare: luck in full +28% SUN
4 46' Aaron Ramsey didn’t score from a shotFinishing · 24% chance +7% SUN
5 57' Steven Fletcher didn’t score from a shotFinishing · 23% chance +8% ARS
6 62' Olivier Giroud scored from a shotFinishing · 12% chance +30% ARS
7 74' Duncan Watmore didn’t score from a shotFinishing · 9% chance +4% ARS
8 88' Patrick van Aanholt didn’t score from a shotFinishing · 13% chance +6% ARS

Adjust the assumptions

Think finishing is more skill than we do? Change how much of it counts as luck and the coin-flip replay of the 90 minutes reruns in your browser.

Only coin-flips re-rolled

Arsenal 85% · draw 11% · Sunderland 4%

Final margin
Arsenal by 2
Luck in goals
0.6 for Arsenal
Luck-adjusted margin
Arsenal by 1.4
Replay with same day's form
Arsenal 68% · draw 19% · Sunderland 14% unchanged: why
How much of each is luck?

0% treats it as skill, 100% as pure luck. The tick is our fit.

What counts
Flip a play

Force the other outcome, in this match and in every replay: a goal becomes a save, a chance goes in.

About these numbers

Expected goals per shot from StatsBomb’s open data; the replays, the in-game win probability and the luck shares are our own models, fitted and tested on every shot of four full league seasons and four tournaments, these matches included (methodology and validation). Arsenal win 77% of replays (a draw counted as half).

All matchday 15 matches, 2015-16 · Arsenal · Sunderland

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