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If the odds against the occurrence of an event be 4 : 7, find the probability of the occurrence of the event. |
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 \(\frac{a}{a+b}\), similarly, if odds are not in the favor of the occurrence an event are a:b, then the probability of not occurrence of the event is \(\frac{a}{a+b}\) We also know that, Probability of occurring = 1 - the probability of not occurring = \(1-\frac{a}{a+b}\) = \(\frac{b}{a+b}\) Given a = 4 and b = 7 Probability of occurrence = \(\frac{7}{4+7}\) = \(\frac{7}{11}\) Conclusion: Probability that the event occurs is \(\frac{7}{11}\) |
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