The probability of an event happening is 5/9 what are the odds of the event happening
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It is basically the ratio of the probability of something happening to the probability of something not happening. In the above example, the odds in favor are simply 5/9:4/9 = 5:4. When you hear that the odds are 2:1 for, it means that it is twice as likely to happen (2/3 probability for : 1/3 probability against)
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For any event P ( A)
odd favour ( A ) = P ( A) / 1- P (A)
Odds against this event is simply the reciprocal of the odds in favour
Odds against ( A) = 1 - P ( A) / P ( A)
1 - 5/9 / 5/9 = 4/9 /5/9
4/9 × 9/5
= 4/5
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