Suppose you are pricing healthcare for a group of people, which you have roughly divided into

"high-risk" and "low-risk". You know the following information:

15% of the population is considered "high-risk".

A "high-risk" person is 4 times as likely to visit the hospital as a "low-risk" person.

Use Bayes' theorem to compute the conditional probability that a person is "high-risk" given they make a hospital visit. Round your answer to three decimal places.