What are odds of an event.

1.	What are odds of an event.
Answer» Odds of an event If there are p outcomes favourable to a certain event and q outcomes unfavourable to the event in a sample space then, odds in favour of the event = \(\frac{Number\,of\,favourable\,outcomes}{Number\,of\,unfavourable\,outcomes}\) = \(\frac{p}{q}\) Odds against the event = \(\frac{Number\,of\,unfavourable\,outcomes}{Number\,of\,favourable\,outcomes}\) = \(\frac{q}{p}\) If odds in favour of an event A are m : n , then Probability of happening of event A= P(A) = \(\frac{m}{m+n}\) Probability of not happening of event A = P(\(\bar A\)) = \(\frac{n}{m+n}\)

Answer»

Odds of an event

If there are p outcomes favourable to a certain event and q outcomes unfavourable to the event in a sample space

then, odds in favour of the event = \(\frac{Number\,of\,favourable\,outcomes}{Number\,of\,unfavourable\,outcomes}\) = \(\frac{p}{q}\)

Odds against the event = \(\frac{Number\,of\,unfavourable\,outcomes}{Number\,of\,favourable\,outcomes}\) = \(\frac{q}{p}\)

If odds in favour of an event A are m : n , then

Probability of happening of event A= P(A) = \(\frac{m}{m+n}\)

Probability of not happening of event A = P(\(\bar A\)) = \(\frac{n}{m+n}\)

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