luckadjusted
CFB Week 4 · 2026

Week 4 2026 · September 26, 2026

Kansas State at Cincinnati, Week 4 2026: who deserved to win?

Cincinnati beat Kansas State 31–26, and the replays back it up: with the way both teams actually played, Cincinnati wins 8 of 10.

An off day for Kansas State: its defense played far below its usual level. In a fresh game against Cincinnati it would win 59% of the time; with this day’s form, 17%. The numbers

Before kickoff Kansas State was a 65% favorite. The biggest swing (Q4, 0:18 left): Holding on Kansas State, 10 yards, wiping out the play, worth 19 points of win probability to Cincinnati.

Final

Kansas State Wildcats 26
Cincinnati Bearcats 31

September 26, 2026 · Nippert Stadium · Closing line: Kansas State −6

Luck index +17 Cincinnati about even · −17 Kansas State

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. Kansas State wins 2, Cincinnati wins 8.

  1. 1 KSU 24 CIN 10
  2. 2 KSU 24 CIN 20
  3. 3 KSU 31 CIN 35
  4. 4 KSU 6 CIN 13
  5. 5 KSU 7 CIN 17
  6. 6 KSU 17 CIN 31
  7. 7 KSU 21 CIN 38
  8. 8 KSU 21 CIN 42
  9. 9 KSU 17 CIN 44
  10. 10 KSU 10 CIN 45

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 Kansas State

Its defense played far below its usual level. In a fresh game against Cincinnati it would win 59% of the time; with this day’s form, 17%.

42 points apart for Kansas State: the gap is how differently this game went from what the two teams usually are.

UnitThis gameUsual levelBetter or worse than usual
Kansas State offenseEPA per play gained +0.15 +0.13 better by 0.02
Kansas State defenseEPA per play allowed +0.33 +0.03 worse by 0.30
Cincinnati offenseEPA per play gained +0.33 +0.15 better by 0.18
Cincinnati defenseEPA per play allowed +0.15 +0.08 worse by 0.07

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

Kansas State wins 17% of them, Cincinnati 83%, counting the 2% still level after regulation as half each. The line is what actually happened: Cincinnati by 5.

Show as a table
Final margin in the replaysShare of replays
Kansas State by 17+2.4%
Kansas State by 9–164.9%
Kansas State by 1–89.7%
Level after regulation1.8%
Cincinnati by 1–820.5%
Cincinnati by 9–1619.1%
Cincinnati by 17+41.5%

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 +3.0 points to Cincinnati: the final margin was Cincinnati by 5, without the luck Cincinnati by 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.

  • L. Rodriguez, 22 yds made · 95% expected
  • S. Rusnak, 45 yds made · 63% expected
  • L. Rodriguez, 36 yds made · 81% expected
Bar: expected chance of a make. Filled dot: made. Open dot: missed or blocked.

Penalties: Kansas State 7 for 50 yards, Cincinnati 7 for 72 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 9:26 False Start on Kansas State, 5 yards · pre-snap +2% CIN +1.0 pts
Q1 2:35 Pass Interference on Cincinnati, 10 yards, wiping out the play +8% KSU +4.1 pts
Q1 2:11 False Start on Cincinnati, 5 yards · pre-snap 0% KSU +0.3 pts
Q2 14:22 Pass Interference on Kansas State, 10 yards, wiping out the play +8% CIN +3.7 pts
Q2 13:10 Illegal Block on Cincinnati, 12 yards +2% KSU +0.7 pts
Q2 12:33 False Start on Cincinnati, 5 yards · pre-snap +1% KSU +0.7 pts
Q2 8:04 Holding on Cincinnati, 10 yards +2% KSU +1.3 pts
Q3 4:56 Offside on Kansas State, 5 yards · pre-snap +1% CIN +0.3 pts
Q3 1:17 Pass Interference on Cincinnati, 15 yards +6% KSU +1.9 pts
Q4 15:00 Holding on Kansas State, 10 yards, wiping out the play +7% CIN +1.6 pts
Q4 6:21 Offside on Kansas State, 5 yards · pre-snap +14% CIN +3.0 pts
Q4 3:25 Pass Interference on Cincinnati, 15 yards 0% KSU +0.8 pts
Q4 1:45 Delay of Game on Kansas State, 5 yards · pre-snap +1% CIN +0.6 pts
Q4 0:18 Holding on Kansas State, 10 yards, wiping out the play +19% CIN +2.3 pts

When it happened

Cincinnati’s chance of winning

As low as 15% 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 Cincinnati was ahead in it, below while Kansas State was.
#WhenWhat happenedWin probability forNext drive
1 Q1 2:35 Pass Interference on Cincinnati, 10 yards, wiping out the playJudgment calls +8% KSU KSU: Punt
2 Q2 14:22 Pass Interference on Kansas State, 10 yards, wiping out the playJudgment calls +8% CIN CIN: Punt
3 Q3 1:17 Pass Interference on Cincinnati, 15 yardsJudgment calls +6% KSU KSU: Field goal
4 Q4 15:00 Holding on Kansas State, 10 yards, wiping out the playJudgment calls +7% CIN CIN: Touchdown
5 Q4 9:35 Kansas State was stopped on 3rd & 63rd & 4th downs · 41% expected +6% CIN KSU: Field goal
6 Q4 6:55 Cincinnati was stopped on 3rd & 23rd & 4th downs · 67% expected +8% KSU CIN: Touchdown
7 Q4 6:21 Offside on Kansas State, 5 yardsPre-snap flags +14% CIN CIN: Touchdown
8 Q4 0:18 Holding on Kansas State, 10 yards, wiping out the playJudgment calls +19% CIN –

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

Kansas State 39% · Cincinnati 61%

Final margin
Cincinnati by 5
Luck in points
3.0 for Cincinnati
Luck-adjusted margin
Cincinnati by 2.0
Replay with same day's form
Kansas State 17% · Cincinnati 83% 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 2026 games · Kansas State · Cincinnati

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