The table below shows the number and types of cars competing in a sports car rally.
|
Stick (G) |
Automatic (H) |
Total |
| American (A) |
5 |
2 |
7 |
| Foreign (F) |
3 |
2 |
5 |
| Total |
8 |
4 |
12 |
Let A be the event "an american car is chosen"
Let F be the event "a foreign car is chosen"
Let G be the event "the chosen car has a stick shift"
Let H be the event "the chosen car has an automatic shift"
i.) Determine whether P(G|A) = P(A|G)
ii.) Determine whether P(F|H) = P(H|F)
iii.) Find P(A U F); P(A); P(F')