Travel and Transportation
Suppose a bridge has 10 toll booths in the east-bound lane: four are only for E-Z Pass holders, two are only for exact change, one takes only tokens, and the remainder are manned by toll collectors who accept only cash. During heavy-traffic hours it is difficult to see the signs indicating the type of toll booth. Suppose a driver selects a toll booth randomly.
a. What is the probability that an exact-change toll booth is selected?
b. What is the probability that a manual-collection toll booth or the token toll booth is selected?
c. What is the probability that an E-Z Pass toll booth is not selected?
d. Suppose the driver has only tokens. What is the probability of selecting the appropriate toll booth?