1. ## Random probability

In a certain year, 12,297 professional train pushers are diagnosed with carpal tunnel. The top cities for such diagnoses are Tokyo with 2,762, Osaka with 3,440, and Kyoto with 1,417. 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?

I did 2,762 + 3,440 + 1,417 / 12,297 = 0.62 which was incorrect. The correct answer was .380, I'm not sure how they came to this answer.

2. ## Re: Random probability

what you did is the probability that they did come from one of those 3 cities.

the probability that they came from somewhere else is 1 minus this or

$1- 0.62 = 0.38$