If odds in favour of an event be 2: 3, find the probability of occurre

1.	If odds in favour of an event be 2: 3, find the probability of occurrence of this event
Answer» given: odds in favour of event is 2:3 Formula: P(E) = \(\frac{favorable\ outcomes}{total\ possible\ outcomes}\) we have to find the probability of occurrence of this event total possible outcomes is 2k + 3k = 5k therefore n(S) = 5k let E be the event that it occurs n(E) = 2k probability of occurrence is P(E) = \(\frac{n(E)}{n(S)}\) P(E) = \(\frac{2k}{5k}=\frac{2}{5}\)

If odds in favour of an event be 2: 3, find the probability of occurrence of this event

Answer»

given: odds in favour of event is 2:3

Formula: P(E) = \(\frac{favorable\ outcomes}{total\ possible\ outcomes}\)

we have to find the probability of occurrence of this event

total possible outcomes is 2k + 3k = 5k

therefore n(S) = 5k

let E be the event that it occurs

n(E) = 2k

probability of occurrence is

P(E) = \(\frac{n(E)}{n(S)}\)

P(E) = \(\frac{2k}{5k}=\frac{2}{5}\)

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If odds in favour of an event be 2: 3, find the probability of occurrence of this event

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