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4-2 Addition Rules for Probability Note: This PowerPoint is only a summary and your main source should be the book. 4-3 The Multiplication Rules and Conditional Probability β’Box A contains 4 red balls and 2 white balls. Box B contains 2 red balls, 2 white balls. A die is rolled first and if the outcome is an even number a ball is chosen at random from Box A, and if the outcome is an odd number a ball is randomly chosen from Box B. Find the probability that a red ball is chosen? 2 9 7 12 6 24 2 12 Note: This PowerPoint is only a summary and your main source should be the book. *box1 contains 20% defective transistors,box2 contains 30% defective transistors, and box3 contains 50% defective transistors. A die is rolled. If the number that appears is greater than 3, a transistor is selected from 1. If the number is less than 3, a transistor is selected from 2. If the number is 3, a transistor is selected from box3 . Find the probability of selecting a defective transistor. a) 0.028 b) 1 00 c) 0.283 d) 0.03 * A die is rolled. What is the probability that the number rolled is greater than 2 and even number? 1/3 Male Female Total Doctor 4 12 16 Physiotherapy 6 14 20 Nurse 9 11 20 Total 19 37 56 β’Find the probability that the employee is a doctor or a female. 16 37 12 π π ππππ‘ππ ππ πΉπππππ = + β 56 56 56 β’Find the probability that the employee is a physiotherapy. 20 π π πβπ¦π πππ‘βπππππ¦ = 56 β’Find the probability that the employee is a nurse and a male. π π ππ’ππ π πππ π ππππ = 9 56 β’Find the probability that the employee is a doctor given that he a male . π π ππππ‘ππβ© π ππππ 4 56 π π ππππ‘ππ|π ππππ = p(π ππππ) =19 56 Note: This PowerPoint is only a summary and your main source should be the book. It is reported that 27% of working women use computers at work. Choose 5 working women at random . 1) 2) 3) Find the probability that at least 1 use a computer at work.= 1 β π πππ‘ π’π π 5 = 1 β 1 β 0.27 5 Find the probability that at least 1 doesnβt use a computer at work. = 1 β π πππ‘ π’π π 5 = 1 β 0.27 Find the probability that all 5 use a computer in their jobs. π(πππ π’π π)5 = 0.27 5 5 Note: This PowerPoint is only a summary and your main source should be the book. a) A store contains 10 toys, 6 of which are defective. If a child bought 3 toys at random, what is the probability of getting 2 defective toys? b) A person owns a collection of 25 movies, five of which are English. If four movies are selected at random, find the probability that three of them are English. c) Given nine flowers, four of which are white and five of them are red, if two flowers are selected at random, without replacement, what is the probability that both flowers are red? d) The probability of randomly selecting 3 science books and 4 math books from 8 science books and 9 math books is The answers: