Lesson 2

So far, you’ve identified events as mutually exclusive, non-mutually exclusive, and complementary. In Lesson 1 you learned about probability and odds. Now you will learn how to solve problems that involve the probability of mutually exclusive, non-mutually exclusive, and complementary events.

Try This 3

Out of 150 students, 86 are writing the English diploma exam, 45 are writing the physics diploma exam, and 15 are writing both exams.

1. Create Venn diagrams to represent the situation. Note: You should have four Venn diagrams when you have finished.
   1. Begin by creating a Venn diagram that shows the number of students who are writing both exams.
   2. Create a new Venn diagram that shows how many students are only writing the English diploma exam.
   3. Create a new Venn diagram that shows how many students are writing only the physics diploma exam.
   4. Finally, create a new Venn diagram that shows how many students are not writing the English or the physics exam. This will be your completed Venn diagram.
2. What is the probability that a randomly chosen student is not writing the English nor the physics diploma exam?
3. To the nearest hundredth, what is the probability that a randomly chosen student is writing either the English or the physics diploma exam?
4. To the nearest hundredth, what is the probability that a randomly chosen student from this group is only writing the physics diploma exam?

Save your responses in your course folder.