To ascertain the effectiveness of a new, quicker, and simpler test for identifying diabetes, a study was undertaken involving 657 participants. With this test, a positive result indicates the presence of diabetes. A negative result indicates the absence of diabetes. Data collected to assess the effectiveness of this new test revealed:

• 293of the participants confirmed they actually had diabetes,with the other participants confirming they actually did not havediabetes.
• 109participants actually had diabetesand produced a negative test result.
• 268participants produced a negative test result.

A participant from the study is chosen at random. What is the probability they do actually have diabetes given the test result is positive? (3 decimal places)