A small independent general practice has three doctors. Dr Smith sees 40% of the patients, Dr Tran sees 30% and Dr Jackson sees the rest. Dr Smith requests blood tests on 5% of her patients, Dr Tran requests blood tests on 8% of his patients and Dr Jackson requests blood tests on 6% of her patients.

An auditor from the Australian Health Insurance Commission randomly selects a patient from the past week;

2.b)What is the probability that given the selected patient had a blood test as a result of a visit to the general practice; they were seen by Dr Smith?

How would this be laid the Bay Theorem approach