Reference no: EM132394174

Suppose two doctors, A and B, test all patients coming into a clinic for syphilis. Let events A⁺ = {doctor A makes a positive diagnosis} and B⁺= {doctor B makes a positive diagnosis}. Suppose doctor A diagnoses 10% of all patients as positive, doctor B diagnoses 17% of all patients as positive, and both doctors diagnose 8% of all patients as positive. 

Suppose a patient is referred for further lab tests if either doctor A or B makes a positive diagnosis. 

What is the probability that a patient will be referred for further lab test?

A. 0.017 or 1.7%

B. 0.35 or 35%

C. 0.27 or 27%

D. 0.19 or 19%