Listed below is the population by state for the 15 states with the largest population. Also included is whether that state's border touches the Gulf of Mexico, the Atlantic Ocean, or the Pacific Ocean (coastline).
|
Rank
|
State
|
Population
|
Coastline
|
|
1
|
California
|
36,553,215
|
Yes
|
|
2
|
Texas
|
23,904,380
|
Yes
|
|
3
|
New York
|
19,297,729
|
Yes
|
|
4
|
Florida
|
18,251,243
|
Yes
|
|
5
|
Illinois
|
12,852,548
|
No
|
|
6
|
Pennsylvania
|
12,432,792
|
No
|
|
7
|
Ohio
|
11,466,917
|
No
|
|
8
|
Michigan
|
10,071,822
|
No
|
|
9
|
Georgia
|
9,544,750
|
Yes
|
|
10
|
North Carolina
|
9,061,032
|
Yes
|
|
11
|
New Jersey
|
8,685,920
|
Yes
|
|
12
|
Virginia
|
7,712,091
|
Yes
|
|
13
|
Washington
|
6,468,424
|
Yes
|
|
14
|
Massachusetts
|
6,449,755
|
Yes
|
|
15
|
Indiana
|
6,345,289
|
No
|
Note that 5 of the 15 states do not have any coastline. Suppose three states are selected at random. What is the probability that:
a. None of the states selected have any coastline?
b. Exactly one of the selected states has a coastline?
c. At least one of the selected states has a coastline?