section 5.2.notebook November 13, 2015
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1 Nov 6 10:11 AM 1
2 LEARNING GOALS After this lesson, students will be expected to: understand and interpret odds, and relate them to probability After this lesson, students should understand the following concepts: Odds in favour Odds against Calculate Probability when given the odds in favour or when given the odds against Suggested Problems in Foundations of Mathematics 12: pp : #1 19 Nov 11 2:29 PM 2
3 Sec. 5.2: Probability and Odds Page 304 Probability: Compares the likelihood that an event will happen to all possible outcomes. Tells how many times out of 100 you can expect event to occur. Part : Whole ratio ODDS: Compares the chances for and against event occuring. Expresses the level of cofindence about the occurrence of an event Part : Part ratio Odds in favour: ratio of the probability that an event will occur to the probability that it will not occur. Odds against: ratio of the probability that an event will not occur to the probability that it will occur. Nov 7 12:56 PM 3
4 Nov 11 2:28 PM 4
5 An oil and vinegar salad dressing is made using 2 parts oil to 1 part vinegar What fraction of the dressing is vinegar? What fraction of the dressing is oil? What is the ratio of vinegar to oil? I May 4 7:57 PM 5
6 Ex. 1 A bag containing 3 green chips and 6 red chips of the same size and weight are mixed together. a) What is the probability of drawing a red chip? b) What are the odds in favour of drawing a red chip? c) What are the odds against drawing a red chip? Nov 7 12:59 PM 6
7 Ex. 2: You hit a bulls eye 6 out of 10 times a) What is the probability of hitting the bulls eye. b) What are the odds against hitting the bulls eye c) What are the odds in favour of hitting the bullseye? Nov 7 1:03 PM 7
8 Ex. 3 The winnipeg bombers are 25% likley to win the grey cup. What are the odds in favour of them winning and then find the odds against Nov 7 1:07 PM 8
9 Ex 4. The odds in favour of winning a game is 3:10. What is the probability of winning? The odds in favour of winning a game is 8:17. What is the probability of not winning? Nov 11 2:25 PM 9
10 Ex. 5: The ODDs in favour of passing the test are 5:8. a) What is the probability of Passing b) Probability of not passing Ex. 6 The ODDs against Justin being late is 3:7. What is the probability of him being late? Nov 7 1:09 PM 10
11 YOUR TURN Bailey holds all the hearts from a standard deck of 52 cards. He asks Morgan to choose a single card without looking. Sample Space: a) What is the probability of Morgan choosing a face card? b) What is the probability of Morgan not choosing a face card? c) Determine the odds in favour of Morgan choosing a face card. d) Determine the odds against Morgan choosing a face card May 4 7:14 PM 11
12 Ex 7: Research shows that the probability of an expectant mother, selected at random, having twins is 1/32 a) What are the odds in favour of an expectant mother having twins? b) What are the odds against an expectant mother having twins? Ex 8: A computer randomly selects a university student s name from the university database to award a $100 gift certificate for the bookstore. The odds against the selected student being male are 57:43. Determine the probability that the randomly selected university student will be male? Ex 9: A hockey game has ended in a tie after a 5 min. overtime period, so the winner will be decided by a shootout. The coach must decide whether Ellen or Brittany should go first in the shootout. The coach would prefer to use her best scorer first, so she will base her decision on the players shootout records. May 4 7:54 PM 12
13 Ex 10 A group of grade 12 students are holding a charity carnival to support a local animal shelter. The students have created a dice game called Bim and a card game called Zap. The odds against winning Bim are 5:2 and the odds against winning Zap are 7:3. Which game should Madison play? May 4 7:56 PM 13
14 Sample Questions 1. Calculate the odds in favour and the odds against each event. a) Christmas falling on a Monday b) Tossing exactly three heads with three coins c) Randomly drawing a face card from a standard deck of 52 cards. d) Winning lotto 6/49 if there are 13, 983,816 different six number combinations 2. Two brown eyed parents are told that there is a 25% probability that their baby will have blue eyes. What are the odds in favour of such parents having a baby with blue eyes? What are the odds against? 3. The odds that the Toronto Blue Jays will beat the Boston Red Sox are 3:4. What is the probability that Toronto will beat Boston in their next game? 4. Boomer Gallant gives a 30 % probability of precipitation tomorrow. a) What are the odds in favour of precipitation for tomorrow? b) What are the odds against precipitation for tomorrow? Apr 21 8:28 AM 14
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