luckadjusted
Premier League Matchday 5 · 2026-27

Matchday 33 · Premier League 2015-16 · April 9, 2016

West Ham 3–3 Arsenal: who deserved to win?

West Ham and Arsenal drew 3–3. Replayed with the way both teams played, West Ham win 2 of 10, Arsenal 6, and 2 end level. Arsenal made the better chances: 1.8 expected goals to 1.3.

Full time

TeamGoalsxG
West Ham United 3 1.26
Arsenal 3 1.84

April 9, 2016 · Boleyn Ground · Referee: Craig Pawson

Luck index +15 West Ham about even for the draw

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. West Ham win 2, 2 end level, Arsenal win 6.

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

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

West Ham win 25%, 21% end level, Arsenal win 54%. The line is what actually happened: Draw.

Show as a table
After 90 minutes in the replaysShare of replays
West Ham by 3+3.6%
West Ham by 27.0%
West Ham by 114.0%
Draw21.2%
Arsenal by 122.8%
Arsenal by 216.6%
Arsenal by 3+14.9%

Where the luck was

FinishingShotsGoalsExpected goalsAbove expected
West Ham1731.26+1.74
Arsenal1131.84+1.16

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
17'Mesut Özil scored from a shot0.28
34'Alexis Alejandro Sánchez Sánchez scored from a shot0.33
43'Andy Carroll scored from a shot0.07
46'Andy Carroll scored from a shot0.10
51'Andy Carroll scored from a shot0.09
69'Laurent Koscielny scored from a shot0.52

When it happened

West Ham’s chance of winning

As low as 7% and as high as 91%. 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 West Ham was ahead in it, below while Arsenal was.
#WhenWhat happenedWin probability for
1 17' Mesut Özil scored from a shotFinishing · 28% chance +19% ARS
2 34' Alexis Alejandro Sánchez Sánchez scored from a shotFinishing · 33% chance +12% ARS
3 43' Andy Carroll scored from a shotFinishing · 7% chance +16% WHU
4 46' Andy Carroll scored from a shotFinishing · 10% chance +29% WHU
5 51' Andy Carroll scored from a shotFinishing · 9% chance +28% WHU
6 69' Laurent Koscielny scored from a shotFinishing · 52% chance +18% ARS
7 77' Winston Reid didn’t score from a shotFinishing · 17% chance +7% ARS
8 88' Emmanuel Emenike didn’t score from a shotFinishing · 8% chance +4% 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

West Ham 25% · draw 23% · Arsenal 51%

Final margin
even
Luck in goals
0.4 for West Ham
Luck-adjusted margin
Arsenal by 0.4
Replay with same day's form
West Ham 25% · draw 21% · Arsenal 54% 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).

All matchday 33 matches, 2015-16 · West Ham · Arsenal

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