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