An athlete has 75% of winning the race if he is not injured. If he is injured, his probability of winning the race is only 15%. If he total chances of winning is 51%, what is the probability that he gets injured?
Conditional probabilities based on known probabilities of other events
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probability
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0Could you make your title more specific? – 2011-11-18
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0@MikeSpivey title edited hope it helps – 2011-11-18
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0@AustinMohr I have no idea how to take into consideration two different events. – 2011-11-18
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0@andrei: I still think it could be more specific. – 2011-11-18
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0@MikeSpivey done.will you help me now? I can't understand how Bayes' rule works – 2011-11-18
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0You don't need Bayes' rule, only the law of total probability. Bayes' rule would be needed if you were asked, "Given that the athlete won, what is the probability he was injured?" Note the difference between _Given that he won_ and _the probability that he wins is $51\%$._ – 2011-11-18