in a certain year, 13,839 professional train pushers are diagnosed with carpal tunnel. the top cities for such diagnoses are tokyo with 2,551, osaka with 3,049, and kyoto with 1,436. if a professional train pusher recently diagnosed with carpal tunnel is randomly selected, what is the probability that they are from somewhere other than tokyo, kyoto or osaka?



Answer :

Probability that the professional other than Tokyo, Kyoto or Osaka is 6803/13839.

Total number of professional train pushers who are diagnosed with carpal tunnel is 13839

Number such professional from Tokyo = 2551

Number such professional from Osaka = 3049

Number such professional from Kyoto = 1436

So, number such professional from other than these three cities = 13839 - (2551+3049+1436) = 6803

Hence the probability that the professional other than Tokyo, Kyoto or Osaka is = 6803/13839

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