The mathematic equation to that would be 68 factorial if all teams are given a 50/50 chance of winning but that isn't the case being that 1 and 2 seeds are almost certainties to make it past round 1 and generally the bracket doesnt count the play in games.
But I am just an angry white racist, what do I know. LOL
This got me thinking. Below is a good short article with the normal stated number and some statistical comparisons to doing a perfect bracket.
https://www.colorado.edu/today/2017/03/10/odds-picking-perfect-ncaa-bracket-explained-mathematician
You're right. All the math (usually) shown is a 50/50 across the board. Where, like you stated, the "odds" of the 15 beating a 1 is not historically nor factually 50/50.
Im going to try and find a formula done or mathematical write up that includes at least some of the following:
- Standard (50/50) 9.2 quintillion to 1 odds
- Historical 1 vs 16, 2 vs 15, 3 vs 14, etc results. There is about 30 years worth of data for 64 teams.
- Some other form of nonbiased ranking, odds or record.
If I find something Ill post it here.