luckadjusted
Euro Final · 2024

Matchday 3 · Euro 2020 · June 22, 2021

Croatia 3–1 Scotland: who deserved to win?

Croatia beat Scotland 3–1, but the replays call it even: Croatia win 3 of 10, Scotland 4, 3 end level. Scotland made the better chances: 1.1 expected goals to 0.8.

Full time

TeamGoalsxG
Croatia 3 0.78
Scotland 1 1.11

June 22, 2021 · Hampden Park · Referee: Fernando Andrés Rapallini

Luck index +52 Croatia lucky · −52 Scotland

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. Croatia win 3, 3 end level, Scotland win 4.

  1. 1 CRO 3 SCO 2
  2. 2 CRO 1 SCO 0
  3. 3 CRO 3 SCO 1
  4. 4 CRO 1 SCO 1
  5. 5 CRO 1 SCO 1
  6. 6 CRO 0 SCO 0
  7. 7 CRO 0 SCO 3
  8. 8 CRO 0 SCO 1
  9. 9 CRO 1 SCO 2
  10. 10 CRO 1 SCO 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

Croatia win 32%, 33% end level, Scotland win 35%. The line is what actually happened: Croatia by 2.

Show as a table
After 90 minutes in the replaysShare of replays
Croatia by 3+2.9%
Croatia by 28.2%
Croatia by 121.2%
Draw32.5%
Scotland by 121.8%
Scotland by 29.8%
Scotland by 3+3.7%

Where the luck was

FinishingShotsGoalsExpected goalsAbove expected
Croatia1130.78+2.22
Scotland1111.11−0.11

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
16'Nikola Vlašić scored from a shot0.07
41'Callum McGregor scored from a shot0.06
49'Joško Gvardiol didn’t score from a shot0.42
61'Luka Modrić scored from a shot0.06
76'Ivan Perišić scored from a shot0.07
92'Scott McKenna didn’t score from a shot0.30

When it happened

Croatia’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 Croatia was ahead in it, below while Scotland was.
#WhenWhat happenedWin probability for
1 16' Nikola Vlašić scored from a shotFinishing · 7% chance +24% CRO
2 23' John McGinn didn’t score from a shotFinishing · 10% chance +3% CRO
3 41' Callum McGregor scored from a shotFinishing · 6% chance +28% SCO
4 49' Joško Gvardiol didn’t score from a shotFinishing · 42% chance +13% SCO
5 58' John McGinn didn’t score from a shotFinishing · 27% chance +9% CRO
6 61' Luka Modrić scored from a shotFinishing · 6% chance +33% CRO
7 73' Ryan Fraser didn’t score from a shotFinishing · 4% chance +2% CRO
8 76' Ivan Perišić scored from a shotFinishing · 7% chance +7% CRO

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

Croatia 57% · draw 26% · Scotland 18%

Final margin
Croatia by 2
Luck in goals
1.7 for Croatia
Luck-adjusted margin
Croatia by 0.3
Replay with same day's form
Croatia 32% · draw 33% · Scotland 35% 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). Croatia win 48% of replays (a draw counted as half).

All matchday 3 matches, 2020 · Croatia · Scotland

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