Among employees at a retailer, there is a 15% chance that an employee will be absent from work for some reason. The floor manager has been talking with two randomly selected employees each day to get suggestions to improve sales.
(a) What is the probability that the first employee he chooses to speak with is absent?
(b) Describe the probability that the second employee he chooses to speak with is absent, assuming that the first employee is present. Is it higher, lower, or the same as the probability in part (a)?
(c) Should your answers to parts (a) and (b) match? Explain why or why not.