Bayes Theorem, from Victor Niederhoffer
"Understanding Bayes Theory with Ratio"
In the old days we used to learn Bayes theorem in terms of odds ratios. I didn't pay much attention to it till recently until the odds of the invisible man winner reached 56 to 40, and the query is "Is he more likely to beat the incumbent than the incumbent is to beat the cattle trader?" The 40 to 1 in favor of incumbent is abut 25 times as likely as the invisible man is over the incumbent.