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The odds in favour of an event are 2:3. ...

The odds in favour of an event are `2:3`. Find the probability of the occurrence of the event.

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Let the event be `E`
`:.` Odds in favour event `E=(P(E))/(1-P(E))`
`implies(P(E))/(1-P(E))=2/3`
`implies 3P(E)=2-2P(E)`
`implies 5P(E)=2`
`implies P(E)=2/5`
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