Name:___________________________



Name:___________________________Class:________Date:____________________________Probability Study GuideIntro to Probability_____ 1. Linda flipped a fair coin six times, and the result was heads each time. Which statement describesthe likelihood of obtaining tails on the seventh flip?A. It is not at all likely.B. It is less likely than heads.C. It is just as likely as heads.D. It is more likely than heads._____ 2. If he chooses one pencil without looking, what color is he LEAST likely to choose?A . blueB. greenC. redD. yellow_____ 3. What is the probability, to the nearest percent, that one of the students surveyed, chosen at random, will prefer Country or Rap music?A. 15%B. 25%C. 38%D. 50%_____ 4. Bernice placed 5 green paper clips, 6 blue paper clips, and 9 yellow paper clips in a container. Shewill reach into the container and pull out one paper clip without looking. What is the probabilitythat the paper clip she chooses will be green?A. 0.20B. 0.25C. 0.30D. 0.33Experimental vs. Theoretical Probability5. What is the difference between experimental and theoretical probability?_________________________________________________ 6. A fair number cube has sides numbered 1 through 6. When the cube is rolled 100 times,which would be MOST likely to occur?A. All the numbers rolled would be odd.B. The number 6 would never be rolled.C. The number 7 would be rolled at least once.D. An even number would be rolled 50 times._____ 7. A taste test is conducted to see how people like a new soft drink. Of those who participated 64 said they preferred the new drink, 112 preferred the old soft drink, and 24 could not tell any difference. What is the probability that a person in this survey preferred the new soft drink?A) 8/25B) 8/17C. 4/7D) 4/11_____ 8. You toss a coin 30 times and get 12 heads. The experimental probability of getting heads is:A) ?B) 2/5C) 3/5D) 2/3_____ 9. You work at a T-shirt printing business. 564 of 4,700 T-shirts shipped are printed improperly. What is the experimental probability that a T-shirt is printed improperly?A) 5.64%B) 47%C) 12%D) 11%Sample Space_____ 10. When buying a new truck there are several different options to choose from. Your truck can be 2-or 4-wheel drive, 5 exterior colors, 2 interior colors, and single or double-cab. How many different variations are there for this new truck?A) 32B) 40C) 48D) 60_____ 11. What is the probability that heads (H) will appear at least twice when the coin is tossed 4 times?A) 3/8B) 7/16C) 5/8D) 11/16Compound Events_____ 12. Tina has 3 red pens and 2 black pens in the bottom of her book bag. All of the pens are the samesize and shape. Tina randomly selects a pen to use and then puts it back in her book bag. Later sherandomly selects a pen a second time. What is the probability that Tina selects a red pen both times?_____ 13. Joel has 8 white golf balls and 7 orange golf balls in a bag. If he removes an orange golf ball anddoes NOT return it to the bag, what is the probability that the next golf ball he randomly picksfrom the bag will be white?_____ 14. Several students are volunteering to help clean up the school grounds after school. If one of the volunteers is chosen at random, what is the probability that he or she is a sixth grader?A) 9/20B) 13/20C) 7/20D) 1/5_____ 15. Which ratio shows the probability of getting three consecutive heads from coin tossing?A) 1/16B) ?C) 1/8D) 1/2Permutations_____ 16. What is the number of permutations that can be made using the letters PEN?A) 1B) 3C) 8D) 6_____ 17. There are four children in Maria’s family. How many permutations are there listing the children in all possible age orders? _____ 18. How many different ways can 14 paintings be placed in 4 different locations?Combinations_____ 19. Pizza Palace offers 10?different toppings. If the special is for a 3-topping pizza, how many different 3-topping pizzas are possible?20. What is the difference between a permutation and a combination?_________________________________________________ 21. How many different 4-people teams can be created from the following students: Sam, Hank, Paul, Bryan, Stephanie & Jennifer?Mixed Review_____ 22. An event with a probability of ________.A) Cannot occurB) Is very likely to occurC) Is not very likely to occurD) Is certain_____ 23. If you roll a number cube, what is the theoretical probability of rolling a 6?A) 1/5B) 1/3C) 1/6D) ?_____ 24. Suppose two standard dice are rolled. What is the probability that one die shows 2 or 5, and the other shows 1, 3, or 6?A) ?B) 1/3C) 5/36D)1/12 ................
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