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Can odds be greater than one?

Updated: 12/23/2022
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10y ago

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yes they can

In terms of probability, one is taken to mean absolute certainty, something that must happen, equivalent to a 100% probability (100 out of 100 is equal to one). Hence, odds cannot be greater than one.

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10y ago
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Why is the probability of an event cannot be greater than 1 while the odds of an event be greater than one?

"Probability" =the chance that an event either will or won't happen. Every event eitherwill or won't happen, so the sum of the two chances is ' 1 '."Odds" =the ratio of the (probability that it will happen) to the (probability that it won't).-- If (happening) and (not-happening) are equally likely, then each probabilityis 0.5, and odds are 0.5/0.5 = 1 .-- If (happening) is more likely than (not-happening) then probability of happeningis more than 0.5, and probability of not-happening is less than 0.5.Their sum is still ' 1 ', because there is a 100% chance that the event will either happenor not happen.But the odds are now (more than 0.5)/(less than 0.5) = more than 1 .