luckadjusted
CFB Week 4 · 2026

Week 4 2025 · September 20, 2025

Toledo at Western Michigan, Week 4 2025: who deserved to win?

Western Michigan beat Toledo 14–13, and the replays lean its way: with the same day's form, it wins 7 of 10. Toledo had the bounces: fumble bounces alone were worth 32 points of win probability to Toledo.

An off day for Toledo: it played far below what the matchup promised. In a fresh game against Western Michigan it would win 79% of the time; with this day’s form, 29%. The numbers

Before kickoff Toledo was an 81% favorite. The biggest swing (Q4, 0:36 left): Toledo fumbled and recovered it, worth 38 points of win probability to Toledo.

Final

Toledo Rockets 13
Western Michigan Broncos 14

September 20, 2025 · Waldo Stadium · Closing line: Toledo −13.5

Luck index +29 Western Michigan lucky · −29 Toledo

Each team’s own plays from this game, resampled into new drives 4,000 times: with the way both teams actually played, how often does this performance win? How the replay works

Ten replays. Toledo wins 3, Western Michigan wins 7.

  1. 1 TOL 19 WMU 3
  2. 2 TOL 21 WMU 13
  3. 3 TOL 9 WMU 6
  4. 4 TOL 21 WMU 24
  5. 5 TOL 14 WMU 20
  6. 6 TOL 13 WMU 22
  7. 7 TOL 10 WMU 21
  8. 8 TOL 10 WMU 24
  9. 9 TOL 3 WMU 21
  10. 10 TOL 7 WMU 33

Three other ways to ask

Each answers a different question, so none of them replaces the replay above.

The closing betting line, turned into a probability. What everyone knew before the game.

The line plus what this game showed, weighted by how much one game can tell. It stays close to the line because one game says little.

Every kick, fumble bounce, conversion and judgment call redrawn; everything else fixed. The narrowest view of luck.

An off day for Toledo

It played far below what the matchup promised. In a fresh game against Western Michigan it would win 79% of the time; with this day’s form, 29%.

50 points apart for Toledo: the gap is how differently this game went from what the two teams usually are.

UnitThis gameUsual levelBetter or worse than usual
Toledo offenseEPA per play gained +0.00 +0.03 worse by 0.03
Toledo defenseEPA per play allowed −0.14 +0.00 better by 0.14
Western Michigan offenseEPA per play gained −0.14 +0.03 worse by 0.17
Western Michigan defenseEPA per play allowed +0.00 +0.13 better by 0.12

EPA (expected points added) per play on competitive snaps, turnovers left out because they are valued as luck. Usual level: the team’s earlier games this season plus half of last season, pulled toward the league average. One team’s defense and the other team’s offense are the same snaps, so one game can’t fully say whose day it was; it shows how far this one was from both teams’ norms.

How 4,000 replays ended

Toledo wins 29% of them, Western Michigan 71%, counting the 4% still level after regulation as half each. The line is what actually happened: Western Michigan by 1.

Show as a table
Final margin in the replaysShare of replays
Toledo by 17+3.8%
Toledo by 9–168.1%
Toledo by 1–815.7%
Level after regulation4.3%
Western Michigan by 1–822.3%
Western Michigan by 9–1621.1%
Western Michigan by 17+24.9%

Where the luck was

What the luck was worth

Every lucky and unlucky play, weighted by the moment it happened: its swing in win probability, added up by kind. A missed kick in a decided game counts for nothing; the same kick at the end of a tie game can be most of a win.

Swings add up across a game, so in one that went back and forth they can pass 100%. On the scoreboard the same luck was worth +0.2 points to Toledo: the final margin was Western Michigan by 1, without the luck Western Michigan by 1.2. Luck shares are the fitted ones (how much of each kind is luck).

The kicks

How likely each kicker was to make that kick (his own record, the distance), and what happened.

  • D. Cunanan, 30 yds made · 86% expected
  • D. Cunanan, 27 yds made · 89% expected
  • Extra point missed · 98% expected
Bar: expected chance of a make. Filled dot: made. Open dot: missed or blocked.

Penalties: Toledo 5 for 48 yards, Western Michigan 2 for 20 yards

Every accepted flag, in order, and what it did to the helped team’s chance of winning at that moment, including any play it wiped out (points on the scoreboard in grey). A flag in a decided game is worth nothing; one at the turn of a close game can be worth most of a win. Judgment calls count toward luck, pre-snap fouls mostly don’t. How calls are valued

WhenFlagWin probability for
Q1 11:54 False Start on Western Michigan, 5 yards · pre-snap +1% TOL +0.5 pts
Q1 2:48 Holding on Toledo, 10 yards +2% WMU +1.2 pts
Q1 0:47 Offside on Toledo, 5 yards · pre-snap 0% WMU +1.4 pts
Q2 0:30 False Start on Toledo, 5 yards · pre-snap 0% WMU +0.3 pts
Q3 13:01 Unsportsmanlike Conduct on Western Michigan, 15 yards +1% TOL +1.8 pts
Q3 2:50 Pass Interference on Toledo, 13 yards +2% WMU +1.6 pts
Q4 5:59 Personal Foul on Toledo, 15 yards +5% WMU +1.7 pts

When it happened

Western Michigan’s chance of winning

As low as 2% and as high as 100%. Numbers mark the biggest luck moments, listed below.

Our in-game win probability: the score, the value of the possession and the time left, starting from the betting line. Overtime has no clock and is drawn at a fixed width. Shaded above the middle while Western Michigan was ahead in it, below while Toledo was.
#WhenWhat happenedWin probability forNext drive
1 Q2 5:57 Western Michigan converted 3rd & 83rd & 4th downs · 28% expected +4% WMU WMU: Turnover on downs
2 Q2 4:40 Western Michigan converted 3rd & 133rd & 4th downs · 19% expected +7% WMU WMU: Turnover on downs
3 Q2 3:15 Western Michigan was stopped on 4th & 13rd & 4th downs · 73% expected +5% TOL WMU: End of half
4 Q4 5:59 Personal Foul on Toledo, 15 yardsJudgment calls +5% WMU WMU: Turnover on downs
5 Q4 3:11 Western Michigan converted 3rd & 13rd & 4th downs · 73% expectedWestern Michigan fumbled and recovered itFumble bounces · loose balls are close to 50/50 +8% WMU WMU: Turnover on downs
6 Q4 1:12 Western Michigan converted 4th & 103rd & 4th downs · 23% expected +17% WMU WMU: Touchdown
7 Q4 0:52 Western Michigan’s two-point try was good3rd & 4th downs · 46% expected +15% WMU WMU: End of game
8 Q4 0:36 Toledo fumbled and recovered itFumble bounces · loose balls are close to 50/50 +38% TOL TOL: Turnover on downs

Adjust the assumptions

Disagree with how much of a fumble bounce or a pass interference call is luck? Change it and the coin-flip replay reruns in your browser.

Only coin-flips re-rolled

Toledo 42% · Western Michigan 58%

Final margin
Western Michigan by 1
Luck in points
0.2 for Toledo
Luck-adjusted margin
Western Michigan by 1.2
Replay with same day's form
Toledo 29% · Western Michigan 71% unchanged: why
How much of each is luck?

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

What counts

None by default: our tests measured no carryover after a lucky break. Slide it up to count a break for more than its own swing. Why

Flip a play

Force the other outcome, in this game and in every replay: a made kick becomes a miss, a stop becomes a conversion, a flag goes the other way.

About these numbers

Play-by-play and expected points from CollegeFootballData.com via cfbfastR; win probability from our own model of the score, the possession and the betting line; kicks valued against each kicker’s own record. College play-by-play has no charting of drops or interception-worthy throws and no injury reports, so those kinds of luck aren’t counted here.

Methodology and validation · All Week 4 2025 games · Toledo · Western Michigan

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