(i) We know that,
If odds in favor of the occurrence an event are a:b, then the probability of an event to occur is \(\frac{a}{a+b}\)
Given, probability
= \(\frac{5}{14}\)
We know, probability = \(\frac{a}{a+b}\)
So, \(\frac{a}{a+b}\) = \(\frac{5}{14}\)
a = 5 and a+b = 14 i.e. b = 9
odds in favor of its occurrence = a:b = 5:9
Conclusion: Odds in favor of its occurrence is 5:9
(ii) As we solved in part (i), a = 5 and b = 9
As we know, odds against its occurrence is b:a = 9:5
Conclusion: Odds against its occurrence is 9:5
