Posted in Sportson Nov 19, 2006
The following article is from 2006. Click here for 2007 Las Vegas Bowl information. In 2009, BYU will play Oregon State in the Maaco Las Vegas Bowl.
Oregon would be a possibility if they beat Oregon State next week. Even if they lost to Oregon, they would still be a possibility as long as both UCLA and Arizona lose their final games. This case has a 69% chance of occurring.
Oregon State would be a possibility only if they lost to Oregon next week. This case has a 50% chance of occurring.
UCLA would be a possibility if they beat USC in two weeks. They would still be a possibility even if they lost to USC, provided that Arizona and Oregon also loose their games. This case has a 43% chance of occurring.
Arizona would be a possibility if they beat Arizona State next week. Even if they lost to Arizona State, they would still be a possibility provided that UCLA and Oregon lose. This case has a 69% chance of occurring.
Arizona State would have a possibility only if they beat Arizona and Oregon lost and UCLA lost. This case has only a 19% chance of occurring.
Washington State is a possibility only if Oregon, UCLA, and Arizona all lose their final conference games. This case has only a 19% chance of occurring. This is the same case as Arizona State above, the difference being that Washington State doesn’t play in any more games so their fate is sealed on others.
If Oregon beats Oregon State, then up to four teams would be in 3rd place in the conference and could be headed to the Sun Bowl. Assuming that all of the third place teams have equal chance at being invited to the Sun Bowl, and assuming that each team with a fourth place conference record had an equal chance at being invited to the Las Vegas Bowl (which isn’t really true because the Bowl tends to like some teams more than others) then the chance that BYU will play each team turns out to be:
Oregon: 23%
Oregon State: 19%
Arizona: 33%
Arizona State: 4%
UCLA: 16%
Washington State: 4%
The difference between these percentages and the case percentages above, is that these count the possibility that the team will go to the Las Vegas Bowl, not the possibility that a certain set of game outcomes will happen. For example, the case that Oregon and Arizona lose while UCLA win is only 6% probable, but if it happens, UCLA will be the only team with a fourth place conference record and would go to the Las Vegas Bowl. The case that all of Oregon, UCLA, and Arizona all lose is more probable (19%) but if it happens, there are 4 different teams that would tie for a fourth place conference record, and if they all have equal probability of being chosen, then the 19% gets divided four ways not really making it so any of those teams are more probable than the rest.
If however, both the Sun bowl and the Las Vegas Bowl take the overall team record into consideration when choosing a team to invite to the Bowl, and chooses the third and fourth place conference teams respectively with the best overall record, then the percentage breakdown goes more like this:
Oregon: 10% (if Oregon wins they will go to the Sun Bowl)
Oregon State: 33%
Arizona: 33%
Arizona State: 10%
UCLA: 14%
Anyway, this may all seem like throwing numbers up on a wall like spaghetti to see if it sticks, and you may be right. But I would guess that the chance of seeing a BYU verses Arizona rematch is in the mix among other possibilites.
2 Comments
Jacob
November 24th, 2006 at 5:40 pm
Updated for Oregon’s loss to Oregon State today:
If the only consideration in inviting a team to the Las Vegas bowl was their conference record then:
Arizona 69%
Oregon 5%
Washington State 5%
Arizona State 5%
UCLA 14%
If the first consideration in inviting a team to the Las Vegas bowl was their conference record, and the second consideration was their overall record, then:
Arizona 65%
Oregon 13%
Arizona State 13%
UCLA 25%
If Arizona were to not be considered because they had played BYU earlier this year, and the first consideration was a team’s conference record, and the second consideration was a team’s overall record, then:
Oregon 61%
UCLA 25%
Arizona State 13%
All of these statistics were calculated with current win probabilities from teamrankings.com with 75%-USC/25%-UCLA and 65%-Ariz./35%-ArSt. probabilities.
Jacob
November 28th, 2006 at 7:15 pm
Well, with Arizona State’s win over Arizona, we see that currently all these Pac-10 teams have 4 conference wins: UCLA, Oregon, Arizona State, Washington State, and Arizona. If UCLA beats USC this weekend (unlikely) then UCLA will have 5 wins and definitively be the fourth place Pac-10 team.
Otherwise with a UCLA loss, all of these teams will have 4 wins and 4 losses and tie for fourth place in the Pac-10. Only Arizona State and Oregon have 7 overall wins, and Arizona State has accepted an invitation to the Hawaii bowl, so it looks like Oregon will face off against BYU in the Las Vegas Bowl.