The odds in favor of the occurrence of an event are 8 : 13. Find the p

1.	The odds in favor of the occurrence of an event are 8 : 13. Find the probability that the event will occur.
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 \(\frac{8}{21}\)

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

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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