Use this table to answer the question that follows.
| Students who Studied | ||||
| Yes | No | Total | ||
| Students who Earned an A on the Test | Yes | 6 | 1 | 7 |
| No | 24 | 3 | 27 | |
| Total | 30 | 4 | 34 | |
Are the events, earn an A and study, independent or dependent? What is the probability of randomly selecting a student who did not earn an A given that the student studied? Express the answer as a fraction in simplest form.
Solution:-
Because the probability of selecting a student who earned an A is not the same as the probability of selecting a student who earned an A given that they studied, the events are dependent. The probability of randomly selecting a student who did not earn an A given that the student studied is
