In a certain year, 10,923 professional train pushers are diagnosed with carpal tunnel. The top cities for such diagnoses are Tokyo with 2,147, Osaka with 2,768, and Kyoto with 1,002. 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 in decimal form. Round to 3 decimal places as needed.