luckadjusted
NFL Week 9 · 2026

Week 12 2023 · November 26, 2023

Steelers at Bengals, Week 12 2023: who deserved to win?

The Steelers beat the Bengals 16–10, and the replays back it up: with the way both teams actually played, the Steelers win 9 of 10. The Bengals had the bounces: fumble bounces alone were worth 13 points of win probability to the Bengals.

An off day for the Bengals: their offense played far below its usual level. In a fresh game against the Steelers they would win 39% of the time; with this day’s form, 7%. The numbers

Before kickoff the Steelers were 56% favorites. The biggest swing (Q1, 7:08 left): the Steelers converted 3rd & 13, worth 11 points of win probability to the Steelers.

Final

Pittsburgh Steelers 16
Cincinnati Bengals 10

November 26, 2023 · Paycor Stadium · Closing line: Steelers −2

Luck index +7 Steelers about even · −7 Bengals

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. Steelers win 9, Bengals win 1.

  1. 1 PIT 33 CIN 0
  2. 2 PIT 31 CIN 7
  3. 3 PIT 41 CIN 21
  4. 4 PIT 19 CIN 3
  5. 5 PIT 23 CIN 10
  6. 6 PIT 16 CIN 5
  7. 7 PIT 31 CIN 23
  8. 8 PIT 19 CIN 14
  9. 9 PIT 19 CIN 17
  10. 10 PIT 19 CIN 24

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, drop, conversion and judgment call redrawn; everything else fixed. The narrowest view of luck.

An off day for the Bengals

Their offense played far below its usual level. In a fresh game against the Steelers they would win 39% of the time; with this day’s form, 7%.

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

UnitThis gameUsual levelBetter or worse than usual
Steelers offenseEPA per play gained +0.18 +0.03 better by 0.15
Steelers defenseEPA per play allowed −0.10 +0.09 better by 0.19
Bengals offenseEPA per play gained −0.10 +0.12 worse by 0.22
Bengals defenseEPA per play allowed +0.18 +0.10 worse by 0.08

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

Steelers win 93% of them, Bengals 7%, counting the 1% still level after regulation as half each. The line is what actually happened: Steelers by 6.

Show as a table
Final margin in the replaysShare of replays
Steelers by 17+54.3%
Steelers by 9–1622.3%
Steelers by 1–816.0%
Level after regulation1.1%
Bengals by 1–84.9%
Bengals by 9–161.3%
Bengals by 17+0.2%

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 +2.4 points to the Steelers: the final margin was Steelers by 6, without the luck Steelers by 3.6. 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 the weather), and what happened.

  • C. Boswell, 41 yds made · 87% expected
  • C. Boswell, 34 yds made · 95% expected
  • C. Boswell, 33 yds made · 95% expected
  • E. McPherson, 47 yds made · 78% expected
Bar: expected chance of a make. Filled dot: made. Open dot: missed or blocked.

Penalties: Steelers 5 for 55 yards, Bengals 5 for 36 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 half toward luck; pre-snap fouls, which repeat, don’t count. How calls are valued

WhenFlagWin probability for
Q1 10:42 Offensive Holding on the Steelers (Mark Robinson), 10 yards +2% CIN +0.9 pts
Q1 5:43 Defensive Pass Interference on the Bengals (Logan Wilson), 6 yards +3% PIT +0.8 pts
Q1 2:47 False Start on the Bengals (Tyler Boyd), 5 yards · pre-snap +2% PIT +0.5 pts
Q1 1:42 Delay of Game on the Bengals, 5 yards · pre-snap 0% PIT +0.6 pts
Q2 2:40 Roughing the Passer on the Steelers (T.J. Watt), 15 yards +5% CIN +1.0 pts
Q2 0:48 Offensive Holding on the Steelers, 10 yards +5% CIN +1.2 pts
Q3 0:08 Offensive Holding on the Bengals (Irv Smith Jr.), 10 yards +6% PIT +1.2 pts
Q4 14:20 Offensive Pass Interference on the Bengals, 10 yards +9% PIT +1.9 pts
Q4 13:16 Offensive Holding on the Steelers, 10 yards +5% CIN +0.9 pts
Q4 11:50 Offensive Pass Interference on the Steelers (Miles Boykin), 10 yards, wiping out the play +8% CIN +1.5 pts

Steelers penalties, every game · Bengals penalties, every game · All teams, 2023

When it happened

Bengals’ chance of winning

As low as 0% and as high as 80%. Numbers mark the biggest luck moments, listed below.

nflfastR’s in-game win probability. It ignores the betting line, so it starts near even. Shaded above the middle while the Bengals were ahead in it, below while the Steelers were.
#WhenWhat happenedWin probability forNext drive
1 Q1 7:08 The Steelers converted 3rd & 133rd & 4th downs · 24% expected +11% PIT PIT: Turnover
2 Q1 4:45 The Steelers fumbled and the Bengals recoveredFumble bounces · loose balls are close to 50/50 +10% CIN PIT: Field goal
3 Q3 14:11 The Bengals converted 3rd & 93rd & 4th downs · 32% expected +8% CIN CIN: Turnover
4 Q4 15:00 The Bengals got away with an interception-worthy throwInterceptions · defenses catch 50% of interception-worthy throws +10% CIN CIN: Punt
5 Q4 14:20 Offensive Pass Interference on the Bengals, 10 yardsJudgment calls +9% PIT PIT: Field goal
6 Q4 11:50 Offensive Pass Interference on the Steelers (Miles Boykin), 10 yards, wiping out the playJudgment calls · 3 flags in 2199 snaps before, position avg 1 per 420 +8% CIN CIN: Punt
7 Q4 10:01 The Steelers converted 3rd & 83rd & 4th downs · 33% expected +8% PIT PIT: Field goal
8 Q4 6:42 The Bengals were stopped on 3rd & 33rd & 4th downs · 55% expected +8% PIT CIN: Punt

Missing players

Key players (usually on the field for half the snaps or more) who missed this game or part of it, valued by position and quality. The same players are missing in every replay, so this counts as luck in points only.

  • Joe Burrow (CIN QB), out (IR), replaced by j.browning · 7.2 pts
  • Tee Higgins (CIN WR), out · 0.8 pts
  • Cam Taylor-Britt (CIN CB), out · 0.6 pts
  • Minkah Fitzpatrick (PIT FS), out · 0.9 pts
  • Keanu Neal (PIT FS), out (IR) · 0.3 pts
  • Cole Holcomb (PIT LB), out (IR) · 0.3 pts
  • Kwon Alexander (PIT LB), out (IR) · 0.2 pts
  • Montravius Adams (PIT NT), out · 0.1 pts

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

Steelers 93% · Bengals 7%

Final margin
Steelers by 6
Luck in points
2.4 for the Steelers
Luck-adjusted margin
Steelers by 3.6
Replay with same day's form
Steelers 93% · Bengals 7% 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 win probability from nflfastR via nflverse; kicks valued against each kicker’s own record; drops and interception-worthy throws from FTN charting; injuries from snap counts and injury reports.

Methodology and validation · All Week 12 2023 games · Steelers · Bengals

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