Question

Do you use probability in your profession or real life? You most likely do. For example, the chance of rain tomorrow is 27%. We hear similar probabilities in the media all the time. Similar probabilities could be found in other professions. Do one of the following three: (i) Find an example of probability involving "A or B" that is used in your chosen profession or real life. Explain the example. Are the events A and B in your example mutually exclusive? Why or why not? Which Addition Rule formula for P(A or B) applies? Be sure to clearly cite the source of the information.

Answer 1

explained

Explanation:

(i) Let A be the event that a student takes statistics subject as a major.

Let B be the event a student gets a job.

Two events (or propositions) are mutually exclusive or disjoint if they cannot both occur (be true). A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.

In this case, the event A and B are not mutually exclusive.

Therefore, P(A or B) = P(A U B) = P(A) + P(B) − P(A ∩ B)