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NAME:_________________________________ PRACTICE FINAL Attempt everything on this because it is a good example of what your final will look like! I would build my notecard after trying to accomplish this practice final. The answers will be on my class page later today or early tomorrow. I will collect this either today (if you aren’t doing good work) or on the day of the final!!! Remember to email me with questions or show up to the lunch period for help! 1. A sales manager has 10 salespeople working for her. How many different ways can she assign 4 of her salespeople to 4 different regions? 2. A school board is made up of 12 members. How many ways can the board create a subcommittee of 4 members to review the new math textbooks? 3. A new car comes in 6 exterior colors, 3 interior colors, and with a choice of 4 different hubcaps. In how many ways can a customer choose their car? 4. A group of students is selected to represent their school on a quiz show. The team is made up students from each grade, as shown below. If a student is chosen at random from this group, what is the probability that the student is a junior or senior? 5. Three number cubes are rolled at the same time. What is the probability that all three show the same number? 6. What is the probability that a point chosen inside the rectangle is in the shaded region? NAME:_________________________________ 7. Two coins and a number cube are tossed at the same time. What is the probability that both coins show the same face and the cube shows a multiple of 3? 8. A psychologist is studying how children acquire math skills. She gives the same question to children at different ages and records the results. Math Skills By Age in Years 2 3 4 Correct 3 6 11 Incorrect 16 12 5 What is the probability that a child from this group is 2 or 3 years old given that they got the question correct? 9. Use the two-way table from Question 8.What is the approximate probability that a child got the question correct given that they are 2? 10. Harriet drove 519 miles to visit her family. She drove 477 miles with her headlights on and 13 miles with her windshield wipers on. She drove only the last mile with her wipers on and her headlights off. What is the approximate probability that she drove any one mile with her headlights or her wipers on? 11. What is the probability a 1-6 number cube lands between 2 and 5? 12. What is the probability that a card drawn from a standard deck is a club and a heart?