If 5/14 Is the probability of occurrence of an event, find
(i) the odds in favor of its occurrence
(ii)the odds against its occurrence
If 5/14 Is the probability of occurrence of an event, find
(i) the odds in favor of its occurrence
(ii)the odds against its occurrence
  • Answer : (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

Given, probability

We know, probability   a/a+b = 5/14  So, 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