SUPPOSE THAT YOU JUST RECEIVED A SHIPMENT OF SIX TELEVISIONS AND TWO  ARE DEFECTIVE. . IF TWO TELEVISIONS ARE RANDOMLY SELECTED COMPUTE THE PROBABILITY THAT BOTH TELEVISIONS WORK. WHAT IS THE PROBABILITY THAT AT LEAST ONE DOES NOT WORK?

Assuming that boy and girl babies are equally likely, find the probability that a family with three children has all boys given that the first two are boys.

Suppose that a bag contains one white chip and two red chips.  Chips are going to be selected at random from the bag with replacement. What is the probability of selecting a white chip from the bag? What is the probability of selecting a red chip from the bag? Are the outcomes of selecting a white chip and selecting a red chip equally likely? Two chips are selected from the bag with replacement.  Is the probability of selecting two white chips greater than, equal to, or less than the probability of selecting two red chips?  Explain your answer.

Suppose that if person with tuberculosis is given a TB screening, the probability that his or her condition will be detected is 0.90. If a person without tuberculosis is given a TB screening , the probability that he or she will be diagnosed incorrectly as having tuberculosis is 0.3. Suppose, further, that 11% of the adult residents of a certain city have tuberculosis. If one of these adults is diagnosed as having tuberculosis based on the screening, what is the probability that he or she actually has tuberculosis?