A professor gave a test to students in a morning class and the same test to the afternoon class. The grades are summarized below.
| A | B | C | Total | |
|---|---|---|---|---|
| Morning Class | 8 | 18 | 13 | 39 |
| Afternoon Class | 10 | 4 | 12 | 26 |
| Total | 18 | 22 | 25 | 65 |
If one student was chosen at random:
What is the probability they were in the morning class?
What is the probability they earned a C?
What is the probability that they earned an A and they were in the afternoon class?
What is the probability that they earned an A given they were in the morning class?
What is the probability that they were in the morning class or they earned a B?
Lee et al., Math in Society, §4.1 Contingency Tables, Exercise 7