Travel and Transportation
A PennDOT road line-painting crew consists of a foreman, a driver, and a painter. Suppose a supervisor is preparing the schedule to paint lines on roads in Johnstown and 10 foremen, 15 drivers, and 17 painters are available.
a. How many different crews are possible?
b. Suppose the crews are selected at random, and there is one foreman who has a severe personality conflict with one driver. What is the probability that neither of these individuals will be on the road painting crew?
c. Eight of the painters have been cited by a supervisor for improper painting. What is the probability that the crew will include one of these painters?