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The odds in favor of the occurrence of an event are 8 : 13. Find the probability that the event will occur.

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Best answer

We know that, 

If odds in favor of the occurrence an event are a:b, then the probability of an event to occur is  \(\frac{a}{a+b}\) , which indirectly came from 

Probability of the occurrence of an event

\(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\)

Where, Total no. of desired outcomes = a, and total no. of outcomes = a + b 

Given a = 8, b= 13 

The probability that the event occurs 

\(\frac{8}{8+13}\) 

\(\frac{8}{21}\)

Conclusion: Probability that the event occurs is  \(\frac{8}{21}\) 

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