You know that the probability of a randomly selected student will cheat on an exam is 1%. You also know that the probability of a randomly selected student will cheat on an exam knowing that his/her fellow classmate is cheating on the exam is also 1%. Which of the following is true about the event of "the randomly selected student cheating on an exam" and "his/her classmate is cheating on the exam"?
A) They are mutually exclusive.
B) They are collectively exhaustive.
C) They are independent.
D) none of the above

Question

Quizplus · Accepted Answer

The events are independent because the probability of a student cheating on an exam is not affected by whether their classmate is cheating or not, based on the given information. Mutual exclusivity means that the events cannot occur together, which is not the case here since a student can cheat even if their classmate is cheating. Collectively exhaustive means that one of the events must occur, which is also not the case since there could be students who do not cheat. Therefore, the correct choice is C, independent.

You Know That the Probability of a Randomly Selected Student