Let `d_(1), d_(2)` and `d_(3)` be three mutually exclusive diseases. Let S be the set of observable symptoms of these diseases. A doctor has the following information from a random sample of 5000 patients, 1800 had diseases `d_(1)` 2100 had diseases `d_(2)` and the other had diseases `d_(3)` . 1500 patients with disease `d_(1)` 1200 patients with disease `d_(2)` and 900 patients with disease `d_(3)` showed the symptom. Which of the diseases is the patient most likely to have?

Answer

`d_(1)`