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17-0 Game team
17-0 Game team

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One-Score Games and the Coin-Flip Problem for Perfect Seasons

Every perfect season is built from close games. In the NFL, a large share of games are decided by one score, meaning eight points or fewer. In those games the better team still wins more often than not, but the margin for error is thin, and the outcome can swing on a single play: a fumble, a tipped pass, a missed field goal.

Why close games act like coin flips

Imagine a team that is clearly better than its opponent, say a 65% chance to win a close game. That is not much better than a coin flip at 50%. If a team plays several games like that, the chance of winning all of them drops quickly. Win probability 0.65 four times in a row is 0.65 x 0.65 x 0.65 x 0.65, which is about 18%. Win eight in a row and it is about 3%.

Now compare a blowout. If a team is a 95% favorite, the same eight-game streak has a chance of about 66%. The gap between those two numbers is why great teams that dominate usually look much more likely to go unbeaten than good teams that win tight games.

What this means over 17 games

A realistic perfect run needs a mix of dominant wins and a few narrow escapes. If even three or four of the 17 games are true toss-ups at 60% each, those games alone multiply the chance of perfection by only 0.6 to the third or fourth power, between about 22% and 13%. The other 13 or 14 games then also have to go right.

Takeaways

  • Luck is not an excuse but a real input. A team can play well in every game and still lose one on a bounce.
  • Point margin matters. Teams that win by large margins are less exposed to one-play variance.
  • One bad quarter can erase a season, which is why unbeaten seasons are rare and often remembered for a close call.

If you want to test how coin-flip games change the odds, try different team strengths in the NFL perfect season simulator and watch how quickly the perfect-season chance drops as games get closer.

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