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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
3
New York
19,297,729
4
Florida
18,251,243
5
Illinois
12,852,548
No
6
Pennsylvania
12,432,792
7
Ohio
11,466,917
8
Michigan
10,071,822
9
Georgia
9,544,750
10
North Carolina
9,061,032
11
New Jersey
8,685,920
12
Virginia
7,712,091
13
Washington
6,468,424
14
Massachusetts
6,449,755
15
Indiana
6,345,289
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?
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