Travel and Transportation Pasco County in Florida has special evacuation plans in the event of a hurricane. Suppose residents can take one of five different major highways out of the county. Department of Transportation officials have produced the following table indicating the probability that a resident will use a selected road.
|
Road
|
A
|
B
|
C
|
D
|
E
|
|
Probability
|
0.20
|
0.18
|
0.26
|
0.32
|
0.04
|
Suppose three Pasco County residents are selected at random and a hurricane strikes.
a. What is the probability that all three will take the same escape route?
b. What is the probability that exactly one will take escape route E?
c. What is the probability that two will take escape route C?
d. Suppose all three Pasco County residents hear a traffic report indicating that route A is flooded and impassable. What is the probability that all three will take route B?