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Ch 9B Review Name 1. Use the Binomial Theorem to expand and simplify the expression. 3 s 2t b g 2. Two twelve-sided dice are rolled. If double-number rolls can only be counted once, how many ways are there to arrive at a total of 6? 3. A professional baseball coach is scouting players in the minor leagues to pull up to the major leagues. He must find one player each to play shortstop, first base, and center field. He can choose from 3 shortstops, 3 first basemen, and 3 center fielders. How many ways can the coach choose the players he needs? 4. How many different ways can 11 different runners finish in first, second, and third places in a race? 5. How many distinguishable permutations can be made with the letters in the word MISSISSIPPI? 6. Cindy, Bob, Sam, Rachel, and Jim are in the math club. The club advisor will assign students to 4-person teams at the next Math Team competition. How many different 4-person teams can be formed from these five students? 7. A box contains 7 green, 2 yellow, and 3 purple balls. Find the probability of obtaining a green ball in a single random draw. 8. On a spin of the spinner below, find the probability of getting either an uppercase letter or a vowel. j A i 10. Suppose two fair dice are rolled. What is the probability that a sum of 10 or 11 turns up? 11. Two urns each contain white balls and green balls. The first urn contains 2 white balls and 3 green balls, and the second urn contains 6 white balls and 4 green balls. A ball is drawn randomly from each urn. What is the probability that both balls are white? 12. The probability of getting an A in Mrs. Ford’s class in any semester is 16%. What is the probability of not getting an A? 13. Statistics from the past ten years predict that the chance of rain on any single day in March in Hillside is 28%. If Ja-Yeon’s birthday is March 16, what is the chance of it not raining on Ja-Yeon’s birthday? 14. Account numbers for Western Oil Company consist of nine digits. If the first digit cannot be a 0, how many account numbers are possible? 15. In a certain lottery, a participant must choose six numbers from 1 to 40. If these six numbers match the six numbers drawn by the lottery organizers, including the order in which the numbers were drawn, the participant wins or shares the lottery jackpot. What is the probability of winning the lottery if you only purchase one ticket? B C h g D f Form 1, P. 2 9. A spinner is numbered from 1 through 9 with each number equally likely to occur. What is the probability of obtaining a number less than 5 or greater than 6 with a single spin? E 16. Use the Binomial Theorem to find the binomial coefficient. 9 5 F IJ G HK Ch 9B Review Name 17. In how many different ways can two spades be drawn from a standard deck of cards? (Note: Order of selection is important.) 24. You work at a T-shirt printing business. Of 2400 T-shirts shipped, 216 are printed improperly. If you randomly choose a T-shirt out of the shipment, what is the chance that it is printed correctly? 18. Suppose you mix up the cards below and choose one without looking. What is the probability of selecting neither H nor A? P H G A R G H 19. How many different arrangements can be made using all of the letters in the word ZEBRA? 20. Suppose you are choosing a wall color from among 3 different paint colors and an accent color from among 4 different paint colors. How many different wall color and accent color combinations are possible? 21. A drawer contains 2 red socks, 4 white socks, and 10 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is blue and the second sock is red? 22. A coin is tossed and a die is rolled. What is the probability that the coin shows tails and the die shows 2? 23. Expand and simplify the binomial using Pascal’s Triangle to determine the coefficients. (2x – 3y)4 Form 1, P. 2 25. Fourteen balls numbered from 1 to 14 are placed in an urn. One ball is selected at random. Find the probability that it is not number 2. 26. A college has eight instructors qualified to teach a special computer lab course which requires two instructors to be present. How many different pairs of teachers could teach the class? 27. Two cards are drawn, without replacement, from a standard deck of 52 cards. How many sets of two cards are possible?