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4.2 Definition of Probability PROBABILITY= The probability of an event that is impossible is 0. NULL EVENT The probability of an event that is certain is 1. CERTAIN EVENT All probabilities fall between 0 and 1. Write the number to show the probability for each of these. It will be a 0, 1, or a fraction between 0 – 1. 1. The sun will rise tomorrow. 2. A coin toss will yield heads. 3. 2 odd numbers will have an even sum. 4. The sun will set in the east. 5. You’ll spend the summer on the moon. 6. Winter will follow fall. 7. The next president will be from Delaware. 1st QUARTER – ROLL OF THE DICE 8. How many ways can a six occur? 9. How many different numbers can you roll? Find the probabilities for one die. a. What is the probability that you will roll a 5? b. What is the probability that you will roll a 3 or a 1? c. What is the probability that you roll a number less than 2? d. What is the probability that you will roll a number larger than 3? SAMPLE SPACE: 2nd QUARTER. Two dice are rolled at the same time. Find the sample space. e. With two dice, what is the probability that you will roll a number larger than 10? f. With two dice, what is the probability that you will roll an even number? 3rd 4.2 Definition of Probability QUARTER – Use the table to find the following probabilities. Year Family Guy The Simpsons Sportscenter CSI Freshman 76 43 68 54 Sophomores 62 48 79 45 Juniors 57 23 85 58 Seniors 81 34 68 57 Find the probability that a randomly selected student a. Watches Family Guy. b. Is a sophomore that watches The Simpsons. c. Is a senior. d. Is a senior who watches Sportscenter. 4th QUARTER – Answer the following problems. 10. A family plans to have 3 children. What is the probability that all 3 children will be girls? 11. A wheel of fortune has the numbers 1 through 50 painted on it. Tickets numbered 1 through 50 have been sold. The wheel will be rotated and the number on which the pointer lands will be the winning number. If the pointer stops on the line between the two numbers, the wheel must be turned again. What is the probability that a. Ticket number 42 wins? b. A ticket between the numbers 1 and 50 wins? c. Ticket number 51 wins? CHALLENGE 12. It has been found that 65% of professional football players suffer serious injuries as a result of their career. What is the probability that a retired NFL player did not suffer a serious injury?