"One of these does log( prob/ 1 - prob) the othe..."

On the log\-odds line, a 1 in 100 credibility is ${^-2}$ orders of magnitude, and a "1 in a million" credibility is ${^-6}$ orders of magnitude\. The distance between them is minus 4 orders of magnitude, that is, $\\log\_{10}(10^{-6}) - \\log\_{10}(10^{-2})$ yields ${^-4}$ magnitudes, or roughly ${^-13.3}$ bits\. On the other hand, 11% to 10% is $\\log\_{10}(\\frac{0.10}{0.90}) - \\log\_{10}(\\frac{0.11}{0.89}) \\approx {^-0.954}-{^-0.907} \\approx {^-0.046}$ magnitudes, or ${^-0.153}$ bits\.

One of these does log( prob/ 1 - prob) the other does log( prob) …

I get your point about orders of magnitude difference, but for me this ends up more confusing then anything.