Question

3. I have a box with 4 blue chips and 6 white chips. I randomly pull a chip from box 1and put it in box 2 which contains 3 blue chips and 8 white chips. Then I randomly pull a chip from box 2 and put it in box 3 which contains 6 blue chips and 3 white chips. a) What is the probability I pull a blue chip from box 3? b) What is the probability I pull a white chip from box 3 given I pulled a white chip from box 1? c) What I the probability I pull a blue chip from box 3 given I pulled a blue chip from box 2? 4. Suppose a test for diagnosing a certain serious disease is successful in detecting the disease in 95% of all persons infected, but that it incorrectly diagnoses 4% of all healthy people as having the serious disease. If it is known that 2% of the population has the serious disease, find the probability that a person selected at random has the serious disease if the test indicates that he or she does.

Answer 1