luckadjusted

Wild Card 2021 · January 16, 2022

No FTN charting for this game (drops and interception-worthy throws are not modelled).

49ers at Cowboys, Wild Card 2021: who deserved to win?

The 49ers beat the Cowboys 23–17, and it was no fluke: replayed with the way both teams actually played, the 49ers win 9 of 10.

An off day for the Cowboys: their offense played far below its usual level. In a fresh game against the 49ers they would win 52% of the time; with this day’s form, 13%. The numbers

Before kickoff the Cowboys were 59% favorites. The biggest swing (Q4, 1:49 left): the Cowboys were stopped on 4th & 11, worth 11 points of win probability to the 49ers.

Final

San Francisco 49ers 23
Dallas Cowboys 17

January 16, 2022 · AT&T Stadium · Closing line: Cowboys −3

Luck index +13 49ers about even · −13 Cowboys

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. 49ers win 9, Cowboys win 1.

  1. 1 SF 37 DAL 6
  2. 2 SF 26 DAL 3
  3. 3 SF 26 DAL 7
  4. 4 SF 40 DAL 24
  5. 5 SF 27 DAL 14
  6. 6 SF 19 DAL 9
  7. 7 SF 23 DAL 17
  8. 8 SF 28 DAL 24
  9. 9 SF 19 DAL 17
  10. 10 SF 10 DAL 16

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 Cowboys

Their offense played far below its usual level. In a fresh game against the 49ers they would win 52% of the time; with this day’s form, 13%.

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

UnitThis gameUsual levelBetter or worse than usual
49ers offenseEPA per play gained +0.16 +0.17 worse by 0.01
49ers defenseEPA per play allowed −0.13 +0.07 better by 0.20
Cowboys offenseEPA per play gained −0.13 +0.15 worse by 0.27
Cowboys defenseEPA per play allowed +0.16 +0.11 worse by 0.04

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

49ers win 87% of them, Cowboys 13%, counting the 2% still level after regulation as half each. The line is what actually happened: 49ers by 6.

Show as a table
Final margin in the replaysShare of replays
49ers by 17+41.4%
49ers by 9–1623.8%
49ers by 1–820.9%
Level after regulation1.6%
Cowboys by 1–88.8%
Cowboys by 9–162.5%
Cowboys by 17+1.0%

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 +7.7 points to the 49ers: the final margin was 49ers by 6, without the luck Cowboys by 1.7. 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.

  • R. Gould, 53 yds made · 67% expected
  • R. Gould, 40 yds made · 88% expected
  • R. Gould, 52 yds made · 69% expected
  • G. Zuerlein, 51 yds made · 72% expected
Bar: expected chance of a make. Filled dot: made. Open dot: missed or blocked.

Penalties: 49ers 9 for 58 yards, Cowboys 14 for 89 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 15:00 Neutral Zone Infraction on the Cowboys (Randy Gregory), 5 yards · pre-snap 0% SF +0.4 pts
Q1 6:01 Delay of Game on the 49ers, 5 yards · pre-snap +1% DAL +0.3 pts
Q1 4:53 Offensive Holding on the Cowboys, 9 yards +1% SF +0.8 pts
Q1 3:35 Offensive Holding on the Cowboys, 10 yards, wiping out the play +10% SF +4.0 pts
Q1 1:13 Neutral Zone Infraction on the Cowboys (Randy Gregory), 5 yards · pre-snap +3% SF +1.0 pts
Q2 1:19 Offensive Holding on the Cowboys, 10 yards +2% SF +0.9 pts
Q3 13:44 False Start on the Cowboys, 5 yards · pre-snap +3% SF +0.7 pts
Q3 13:27 False Start on the Cowboys, 5 yards · pre-snap 0% SF +1.0 pts
Q3 12:34 Roughing the Kicker on the 49ers (Mark Nzeocha), 15 yards +6% DAL +3.4 pts
Q3 10:28 Offensive Holding on the 49ers, 4 yards +1% DAL +0.4 pts
Q3 9:33 Neutral Zone Infraction on the Cowboys (Micah Parsons), 5 yards · pre-snap +2% SF +0.6 pts
Q3 7:03 Illegal Block Above the Waist on the Cowboys (Cedrick Wilson Jr.), 10 yards +2% SF +1.0 pts
Q3 1:02 Illegal Shift on the Cowboys (CeeDee Lamb), 5 yards, wiping out the play · pre-snap +3% SF +2.1 pts
Q4 13:26 Delay of Game on the Cowboys, 5 yards · pre-snap 0% SF +0.7 pts
Q4 11:03 Offensive Holding on the 49ers (Brandon Aiyuk), 10 yards 0% DAL +0.9 pts
Q4 5:51 Defensive Holding on the Cowboys (Osa Odighizuwa), 5 yards +3% SF +0.9 pts
Q4 4:36 Illegal Use of Hands on the Cowboys (Neville Gallimore), 5 yards +4% SF +2.2 pts
Q4 4:36 False Start on the 49ers, 5 yards · pre-snap +1% DAL +0.6 pts
Q4 2:51 Delay of Game on the 49ers, 5 yards · pre-snap +2% DAL +0.7 pts
Q4 2:51 False Start on the 49ers, 5 yards · pre-snap +2% DAL +0.2 pts
Q4 1:38 Defensive Holding on the Cowboys (Randy Gregory), 5 yards 0% SF +0.5 pts
Q4 1:31 False Start on the 49ers, 5 yards · pre-snap 0% DAL +0.4 pts
Q4 0:40 False Start on the 49ers, 4 yards · pre-snap 0% DAL +0.4 pts

49ers penalties, every game · Cowboys penalties, every game · All teams, 2021

When it happened

Cowboys’ chance of winning

As low as 0% and as high as 57%. 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 Cowboys were ahead in it, below while the 49ers were.
#WhenWhat happenedWin probability forNext drive
1 Q1 4:58 R. Gould made 53-yard field goalKicks · 67% expected for him, 18 of 28 from 45+ before +6% SF SF: Field goal
2 Q1 3:35 Offensive Holding on the Cowboys, 10 yards, wiping out the playJudgment calls +10% SF SF: Field goal
3 Q2 12:47 The 49ers converted 3rd & 93rd & 4th downs · 28% expected +6% SF SF: Field goal
4 Q2 5:24 The Cowboys converted 3rd & 53rd & 4th downs · 39% expected +9% DAL DAL: Touchdown
5 Q2 1:51 The Cowboys converted 3rd & 103rd & 4th downs · 26% expected +6% DAL DAL: Punt
6 Q3 12:34 Roughing the Kicker on the 49ers (Mark Nzeocha), 15 yardsJudgment calls · 2 flags in 562 snaps before, position avg 1 per 409 +6% DAL DAL: Punt
7 Q4 8:08 The Cowboys converted 3rd & 53rd & 4th downs · 32% expected +6% DAL DAL: Touchdown
8 Q4 1:49 The Cowboys were stopped on 4th & 113rd & 4th downs · 24% expected +11% SF DAL: End of game

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.

  • Michael Gallup (DAL WR), out (IR) · 0.9 pts
  • Keanu Neal (DAL LB), out · 0.2 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

49ers 46% · Cowboys 54%

Final margin
49ers by 6
Luck in points
7.7 for the 49ers
Luck-adjusted margin
Cowboys by 1.7
Replay with same day's form
49ers 87% · Cowboys 13% unchanged: why
How much of each is luck?

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

What counts

We tested momentum on 19,000 lucky breaks and found none, so it's off by default. 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 (not available for this game); injuries from snap counts and injury reports. No FTN charting for this game (drops and interception-worthy throws are not modelled).

Methodology and validation · All Wild Card 2021 games · 49ers · Cowboys

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