Chapter 11 - School District #35

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Name: _____________________________________________________ Date: ______________ 11.1 Determining Probabilities Using Tree Diagrams and Tables Working Example 1: Determine Probabilities From a Tree Diagram independent events ● 2 or more events that do not affect each other ● example: spinning a spinner does not affect what happens if you also roll a die a) What is the probability of spinning A on the first spin? Write your answer as a fraction, a decimal, and a percent. Solution B B A There are 3 sections on the spinner: A, B, and B. How many favourable outcomes are there? favourable outcomes P (A) = possible outcomes How many A’s are there? = = 0.3 3 C 1 ÷ 3 = 0.333333333 The probability of spinning A is 3 , 0. , or 33.3%. b) Draw a tree diagram to show the sample space when you spin the spinner twice. Solution sample space ● all the possible outcomes of the event Spin 1 Spin 2 Outcomes A A B B A, A A, B A, B B 590 MHR ● Chapter 11: Probability
Name: _____________________________________________________ Date: ______________ c) What is the probability of spinning A and then spinning B, P(A then B)? Write the answer as a fraction, a decimal, and a percent. Solution The favourable outcome is (A, B). Look at the tree diagram. How many times does (A, B) happen? favourable outcomes P (A then B) = possible outcomes = 9 = ______________ C 2 ÷ 9 = 0.222222222 Use bar notation to show a repeating decimal. Spin 1 Spin 2 Outcome A A, A A B A, B B A, B B B A B B A B B B, A B, B B, B B, A B, B B, B The probability of spinning A and then B is , 0. , or %. d) Use the tree diagram to find the probability of getting the same letter on both spins, P(A, A) or P(B, B). Write your answer as a fraction, a decimal, and a percent. Solution favourable outcomes P(A, A) or P (B, B) = possible outcomes How many outcomes are (A, A) or (B, B)? Add the numbers. = 9 = ______________ The probability of spinning the same letter is , 0. , or %. 11.1 Determining Probabilities Using Tree Diagrams and Tables ● MHR 591
Page 1 and 2: CHAPTER 11 Probability GET READY 58
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Page 53 and 54: Math Link a) b) Stick 1 Stick 2 Sti
Page 55: Wrap It Up!, page 631 7. a) Flip #1

Chapter 11 - School District #35

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