Sobering statistics

People/media keep talking undefeated season. So basic theoretical statistics. If we have a constant 95 percent chance to win a single game (probably much less)... our chances of reaching 25 games in a row would be 27.7 percent.
SMUstangs22 wrote:People/media keep talking undefeated season. So basic theoretical statistics. If we have a constant 95 percent chance to win a single game (probably much less)... our chances of reaching 25 games in a row would be 27.7 percent.
Digetydog wrote:SMUstangs22 wrote:People/media keep talking undefeated season. So basic theoretical statistics. If we have a constant 95 percent chance to win a single game (probably much less)... our chances of reaching 25 games in a row would be 27.7 percent.
That is not correct:
1) the chance to win any individual game is nowhere near constant. Indeed, in some games, it might be closer to 50%; and
2) the math assumes that each game is independent. As we get closure to an undefeated record, I suspect that each win would have a strong impact on the next game (Pressure on SMU ⬆️, SMU confidence ⬆️, other team's desire to win ⬆️)
All in, I would guesstimate the chance of winning out < 10%.
sadderbudweiser wrote:So you're telling me we've got a chance.
SMUstangs22 wrote:Digetydog wrote:SMUstangs22 wrote:People/media keep talking undefeated season. So basic theoretical statistics. If we have a constant 95 percent chance to win a single game (probably much less)... our chances of reaching 25 games in a row would be 27.7 percent.
That is not correct:
1) the chance to win any individual game is nowhere near constant. Indeed, in some games, it might be closer to 50%; and
2) the math assumes that each game is independent. As we get closure to an undefeated record, I suspect that each win would have a strong impact on the next game (Pressure on SMU ⬆️, SMU confidence ⬆️, other team's desire to win ⬆️)
All in, I would guesstimate the chance of winning out < 10%.
I was just posting general conjecture aiming at putting a few very speculative and padded numbers to show how difficult it is to go undefeated. That is why I chose 95%. As in 19/20 chance regardless of opponent
SMUstangs22 wrote:Touche
DanFreibergerForHeisman wrote:SMUstangs22 wrote:Touche
That isn't how you spell it.
Grant Carter wrote:RPI forecast updates their projection for the chances of finishing with various records every day. I believe they get the chances of winning each game from sagarin.
As of today they show it at 4.1% chance for SMU to go undefeated. That is the simple result of multiplying the chances for every game in the game by game section.
http://www.rpiforecast.com/teams/SMU.html