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 independent.
C) They are collectively exhaustive.
D) None of the above.

Question

Quizplus · Accepted Answer

The events are independent because the probability of one event occurring does not affect the probability of the other event occurring. In other words, whether or not a classmate is cheating does not change the likelihood of the randomly selected student cheating. Mutual exclusivity would mean that the two events cannot occur at the same time, but here it is possible for both events to occur. Collectively exhaustive would mean that the two events together account for all possibilities, which is not the case here.

You Know That the Probability of a Randomly Selected Student