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Bikura comments on Open Thread, Jul. 6 - Jul. 12, 2015 - Less Wrong Discussion
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(Possibly stupid) off-topic question: Doesn't the colon notation p:q stand for p/q, so odds of 10/1 would contradict the unitary assumption about our universe, or is this just a hyperbole?
While the words "odds" and "probability" are often used interchangeably in everyday speech, they are different scales. The definition of odds is odds=p/(1-p). To go from odds to probabilities, you just reverse that so that p = odds/(1+odds)
While probabilities are bounded by zero and 1, odds are bounded by zero and positive infinity. Odds of 10 would be a perfectly legitimate way to express a probability of 10/(10+1) = 0.909