luckadjusted
Premier League Matchday 5 · 2026-27

Matchday 37 · Premier League 2015-16 · May 8, 2016

Man City 2–2 Arsenal: who deserved to win?

Man City and Arsenal drew 2–2. Replayed with the way both teams played, Man City win 3 of 10, Arsenal 3, and 4 end level. The chances were close to even (0.7 expected goals to 0.9).

Full time

TeamGoalsxG
Manchester City 2 0.74
Arsenal 2 0.89

May 8, 2016 · Etihad Stadium · Referee: Anthony Taylor

Luck index −1 Man City 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. Man City win 3, 4 end level, Arsenal win 3.

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

Man City win 32%, 36% end level, Arsenal win 31%. The line is what actually happened: Draw.

Show as a table
After 90 minutes in the replaysShare of replays
Man City by 3+2.6%
Man City by 27.5%
Man City by 122.1%
Draw36.5%
Arsenal by 120.9%
Arsenal by 28.2%
Arsenal by 3+2.1%

Where the luck was

FinishingShotsGoalsExpected goalsAbove expected
Man City1420.74+1.26
Arsenal520.89+1.11

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
7'Sergio Leonel Agüero del Castillo scored from a shot0.05
9'Olivier Giroud scored from a shot0.20
50'Kevin De Bruyne scored from a shot0.06
66'Theo Walcott didn’t score from a shot0.33
67'Alexis Alejandro Sánchez Sánchez scored from a shot0.29

When it happened

Man City’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 Man City was ahead in it, below while Arsenal was.
#WhenWhat happenedWin probability for
1 7' Sergio Leonel Agüero del Castillo scored from a shotFinishing · 5% chance +21% MCI
2 9' Olivier Giroud scored from a shotFinishing · 20% chance +18% ARS
3 50' Kevin De Bruyne scored from a shotFinishing · 6% chance +29% MCI
4 66' Theo Walcott didn’t score from a shotFinishing · 33% chance +12% MCI
5 67' Alexis Alejandro Sánchez Sánchez scored from a shotFinishing · 29% chance +26% ARS
6 72' Sergio Leonel Agüero del Castillo didn’t score from a shotFinishing · 10% chance +4% ARS
7 73' Sergio Leonel Agüero del Castillo didn’t score from a shotFinishing · 6% chance +3% ARS
8 87' Wilfried Guemiand Bony didn’t score from a shotFinishing · 6% chance +3% 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

Man City 27% · draw 34% · Arsenal 39%

Final margin
even
Luck in goals
0.1 for Man City
Luck-adjusted margin
Arsenal by 0.1
Replay with same day's form
Man City 32% · draw 36% · Arsenal 31% 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 37 matches, 2015-16 · Man City · Arsenal

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