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Name________________________________ Date:________ Mr. Nickels Math 3C Practice Test Probability: 1. Which fraction represents the probability of obtaining exactly eight heads in ten tosses of a fair coin? 1) 45 1024 2) 64 1024 3) 90 1024 180 1024 4) 4 . 5 What is the probability that she will score above a 90 on three of the four tests this quarter? 2. The probability that Kayla will score above a 90 on a mathematics test is 3 1 4 1 1) 4 C3 5 5 1 2) 4 4 C3 5 1 5 3 1 34 1 3) 45 5 3 1 4) 34 45 1 5 3 3. A traffic light on Hemstead Turnpike is green for 40 seconds, yellow for 5 seconds, and red for 15 seconds out of every minute. What is the probability that at least 4 of the next 5 cars gets a green light? 32 80 112 201 1) 2) 3) 4) 243 243 243 243 4. Team A and team B are playing in a league. They will play each other five times. If the probability that team A wins a game is 1/3, what is the probability that team A will win at least three of the five games? 5. If a letter is selected at random from the word SENIORS in three separate trials, what is the probability that the S is never chosen? 6. A board game has a spinner on a circle that has five equal sectors, numbered 1,2,3,4, and 5, respectively. If a player has four spins, find the probability that the player spins an even number no more than two times on those four spins. 7. In the accompanying diagram, the spinner is in circle O, which is divided into three areas: P, I, and E. In the circle, m<AOB = 20, and m<BOC = 160. B A P O E C I If the spinner is spun 3 times, find the probability that it lands in P exactly two times. 8. When Joe bowls, he can get a strike (knock down all the pins) 60% of the time. How many times more likely is it for Joe to bowl at least three strikes out of four tries as it is for him to bowl zero strikes out of four tries? Round your answer to the nearest whole number. 9. If a fair die is rolled four times in a row, what is the probability of getting at most two 5’s? 10. Rosa has a reputation for usually being late. Her family has decided that there is a 90% probability of Rosa being late for any one event. If there are 4 family events coming up, what is the probability that Rosa is late for all of them? Summation: 5 11. Evaluate cos k 2 k 3 6 12. Evaluate 2 i p p 2 2 13. Evaluate 3x 4 x 2 Measures of Central Tendency: 14. Seth’s bowling scores were 280, 250, 300, 216, 267, 255, and 280. Determine the following, to the nearest tenth: A) Median B) Mode C) Mean D) Standard Deviation E) Sample Deviation Answers: 1) 1 240 729 13) 16 7) 2) 1 3) 3 8) 19 9) 14) a) 267 608 625 b) 280 4) 51 243 10) 0.6561 c) 264 125 343 3 11) 2 d) 25.1 5) 6) 513 625 12) -2 e) 27.1