Chapter 11 - School District #35

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Name: _____________________________________________________ Date: ______________ You flip a coin and roll a 4-sided die numbered 1, 2, 3, and 4. a) Complete the tree diagram to show the sample space. 2 44 Coin Die Outcomes H T 1 2 3 4 1 2 3 4 H T , , , , , , , , b) How many outcomes are there? c) What is P(H, 4)? favourable outcomes P (H,4) = possible outcomes = = ← decimal = Multiply by 100 to change the decimal to a percent. Sentence: __________________________________________________________________ 592 MHR ● Chapter 11: Probability
Name: _____________________________________________________ Date: ______________ Working Example 2: Determine Probabilities From a Table You roll two 6-sided dice; 1 is white and 1 is grey. a) Make a table to show the sample space. Solution Complete the table to show all the possible combinations. White Die Grey Die 1 2 3 4 5 6 1 1, 1 1, 2 1, 3 1, 4 1, 5 1, 6 2 2, 1 _____, _____ 2, 3 _____, _____ 2, 5 _____, _____ 3 3, 1 _____, _____ 3, 3 _____, _____ 3, 5 _____, _____ 4 4, 1 _____, _____ 4, 3 _____, _____ 4, 5 _____, _____ 5 5, 1 _____, _____ 5, 3 _____, _____ 5, 5 _____, _____ 6 6, 1 _____, _____ 6, 3 _____, _____ 6, 5 _____, _____ b) What is the probability of rolling a sum greater than 10? Write your answer as a fraction, a decimal, and a percent. Sum means add. Solution Add the numbers in each cell. A cell is 1 box from the table. White Die Grey Die 1 2 3 4 5 6 1 1 + 1 = 2 1 + 2 = 3 1 + 3 = 4 1 + 4 = 5 1 + 5 = 6 1 + 6 = 7 2 2 + 1 = 3 2 + 2 = 4 2 + 3 = 5 2 + 4 = 6 2 + 5 = 7 2 + 6 = 8 3 3 + 1 = 4 3 + 2 = 5 3 + 3 = 6 3 + 4 = 7 3 + 5 = 8 3 + 6 = 9 4 4 + 1 = 5 4 + 2 = 6 4 + 3 = 7 4 + 4 = 8 4 + 5 = 9 4 + 6 = 10 5 5 + 1 = 6 5 + 2 = 7 5 + 3 = 8 5 + 4 = 9 5 + 5 = 10 5 + 6 = ______ 6 6 + 1 = 7 6 + 2 = 8 6 + 3 = 9 6 + 4 = 10 6 + 5 = _____ 6 + 6 = ______ P (sum > 10) = favourable outcomes possible outcomes How many cells add to more than 10? > means greater than = 36 = 0.083 C 3 ÷ 36 = 0.083333333 The probability of a sum greater than 10 is 3 , 0. , or 8.3% . 36 11.1 Determining Probabilities Using Tree Diagrams and Tables ● MHR 593
Page 1 and 2: CHAPTER 11 Probability GET READY 58
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Page 55: Wrap It Up!, page 631 7. a) Flip #1

Chapter 11 - School District #35

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