(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
(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