Using this script, you can fill out your bracket using nothing other than a little basketball history and random luck.
To make a bracket, run python CoinFlipBracket.py {'historical', 'random'}
This will fill out one of three brackets for you using different methodologies. Feel free to pick your favorite!
Option 1: Historical Data
This uses empirical data to check all matchups of any pairings of seeds. The "coin" is then weighted with that exact probability to favor the better team. For example, in the first round, the 4 beats the 13 79% of the time. Therefore, this coin is weighted to give the 4 seed the exact same probability of winning.
Option 2: Pure Chaos
If these aren't risky enough for you, then let's use pure random chance. Nothing special, every coin is a 50/50 shot.
Data comes from: http://mcubed.net/ncaab/seeds.shtml