JacekLach comments on Even Odds - Less Wrong
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Comments (46)
Neither probability should be <50%, you take the probability that your opinion is the right one, not whether the proposition is true or false.
In your example B would be betting against his beliefs, thus the negative result.
The right calculation: A = 0.6 B = 0.7
Edit:
actually, it's sufficient that A and B sum to over 1. Since you can always negate the condition, the right calculation here is:
Also, apparently I can't use the retract button the way I wanted to use it.