1. A hospital has 5 doctors (Dr. A, Dr. B, Dr. C, Dr. D, and Dr. E). An administrator is going to randomly choose 2 of them to be on a committee. Write out the sample space (all the possible outcomes) for this random phenomenon.

2. For a certain type of surgery, the probability of complete success is .24, the probability of substantial success is .46, the probability of moderate success is .13. The only other outcome is a failure.

a. What is the probability the surgery is not a complete success?

b. What is the probability the surgery results in failure?

c. What is the probability that the surgery results in substantial or moderate success?

3. A doctor is going to test a number of patients for disease. They will test patients until they get a positive test but will test at most 6 patients. The following probability model details the probability for each number of patients they might test:

Number Tested 1 2. 3 4 5 6

Probability .20 .16 .13 . 10 .08

a. What is the probability they test 6 patients?

b. What is the probability they test 4 or more patients?