1. Lesson 2

1.9. Explore 5

Mathematics 30-2 Module 2

Module 2: Probability

 

In Try This 3, you identified events as mutually exclusive, non-mutually exclusive, and complementary. You solved a real-life problem that involved the probability of mutually exclusive, non-mutually exclusive, and complementary events. You will now apply this understanding in the following questions.

 

Self-Check 3

 

textbook

  1. Complete question 14 on page 179 of your textbook. To see how to solve this problem, view the video titled Probability—Cats and Dogs.

     
    tip
    Pay attention to the use of the words or and and in the context of a problem.
    This is a play button for Probability—Cats and Dogs.

  2. Complete question 3 on page 176 of your textbook. Answer
  3. Complete question 15 on page 179 of your textbook. Answer
  4. Complete “Your Turn” on page 173 of your textbook. Answer

caution

Remember to subtract events that are being counted twice when dealing with non-mutually exclusive events.

 


glossary

Add the following terms to your copy of Glossary Terms:

  • mutually exclusive events
  • non-mutually exclusive events

formula

Add the following to your copy of Formula Sheet:

  • mutually exclusive events

    P(A or B) = P(A) + P(B)

    P(A ∪ B) = P(A) + P(B)
  • non-mutually exclusive events

    P(A or B) = P(A) + P(B) − P(A and B)

    P(A ∪ B) = P(A) + P(B) − P(A ∩ B)

    Note: This formula can also be used for mutually exclusive events because P(A and B) will be zero.