What are odds of this kind of Bad Beat Streak?

Without going into specifics (although I know you all are dying to read a post full of 20 bad beat stories), I'm curious how to solve this simple problem:

Last night I endured a nightmarish streak of bad beats. I lost 22 out of 24 hands in which I was a 3-1 favortie or better on the flop (HEADS-UP EVERTYTIME!!!!). Now, I think I know how to figure out what the odds are of losing 22 of 22 hands in this situation, but I forget how to calculate losing 22 of 24. Let's say, for simplicity's sake, that I was a 3-1 favorite on all the hands--the truth is I was closer to 80%, even up to 86% after the flop in a few of these hands--argh, talk about tilt, I vaguely remember telling one player how much I'd love to shove my AQ up his *** [img]/forums/images/icons/mad.gif[/img] . But, again, to simplify things, let's just say I was a 3-1 favorite. What are the odds that a 3-1 favorite will lose 22 of 24 times? Thanks in advance.