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Find the following probabilities. lots gulwallet ed an Bonus: The following table represents shows on three television channels. 14. If P[A) =.32, P(B) = .37, and P(An B) = .08, find P(A U B). Show Channel A Channel B Channel C Total down Game Show 8 Comedy N Drama 10 Total: 12 20 15. The probability that an advertising company will receive 0, 1, 2, 3, 4, or at least 5 complaints are respectively .34, .08, .13, .12, .18, and . 15. What is the probability the company will receive, at most, three complaints? 18. Find the probability of selecting a show that is a game show or it is a show on Channel B. 16. In a science class, there are 18 juniors and 10 seniors. 6 of the seniors are females and 12 of the juniors are males. If a student is selected at random, find the probability of selecting a junior or a female. (Hint: Make a table) dayand bel Jars spotwath nedw si 19. Find the probability of selecting a show that is a drama or a comedy. 17. The movies available for rental include 160 horror movies, 240 drama movies, 110 argo cult wat snobide ard mystery movies, 320 romance movies, and 150 comedy movies. If a movie is selected, find the probability that it is a romance or a comedy. Is this event likely to occur? Explain. 20. Find the probability of selecting a show that is on Channel C or it is a drama.Find the following probabilities . Answer the following questions. 30. Two cards are drawn from a deck with replacement. What is the probability of drawing 21. What is the difference between independent and dependent events? Give an example. a spade and then drawing an ace? 31. Two cards are drawn from a deck with replacement. What is the probability of drawing 22. What is the difference between a mutually exclusive event and an independent event? two aces? 32. What is the probability of rolling a die and getting a 5, and then tossing a coin and Determine if the following events are independent or dependent. getting a tail? 23. Tossing a coin and drawing a card from a deck. 24. Drawing a ball from a box and then drawing a second one, without replacing the 33. A bag contains 8 blue chips, 7 green chips, and 2 white chips. If three chips are drawn first. with replacement, what is the probability of drawing two blue chips and then a green chip? 25. Getting a raise in salary and buying a new car.wood owens of yiffdodang 34. A study found that 72% of people wear seat belts. If three people are selected at random, find the probability that all three wear their seat belts. Would you consider this 26. Driving on ice and having a car accident. likely or unlikely to occur? 27. Having a large shoe size and getting good grades. 35. Using the previous problem's information, find the probability of selecting two people that wear their seat belts, and one that does not wear their seat belt. 28 . A father being left-handed and a daughter being left-handed . 29. A father having blue eyes and a daughter having blue eyes.Find the following probabilities . Find the following conditional probabilities. 36. Two cards are drawn from a deck without replacement. What is the probability of drawing two hearts? 40. At the local country club, 82% of the members play golf. 73% of members play golf and swim at the pool. If a member is selected at random, find the probability that the member swims, given that the member plays golf. 37 . Three cards are drawn from a deck without replacement. What is the probability of drawing a jack, ace, and another jack. 41. A box contains blue chips and red chips. Two chips are randomly selected without replacement. If the probability of selecting a blue chip and a red chip is 35/132, and the probability of selecting a blue chip on the first draw is 7/12, find the probability of drawing a red chip on the second draw, given that the first chip was a blue chip. 38. A bag contains 8 blue chips, 7 green chips, and 2 white chips. If three chips are drawn without replacement, what is the probability of drawing two blue chips and then a green chip? Use your knowledge of independent events, dependent events, and conditional probability to answer the following question. 42. If P[A) = 0.70, P(B) = 0.40, and P(A n B) = 0.25, are events A and B independent? 39. There are 38 students involved in planning the homecoming parade. Of these students, 15 are boys and 23 are girls. If three members are selected to lead the parade, find the probability that all three are girls.For events A and B (not mutually exclusive), P(A) = 0.59, P(B) = 0.46, and P(An B) = The following table represents the medal distribution from a world competition. If 0.28. Find the following probabilities. one medal winner is selected at random, find the following probabilities. 43. P( A'n B ) Gold Silver Bronze United States 35 39 29 4 4. P(An B ' ) Russia 27 27 38 China 32 17 14 Australia 17 16 16 45. P(A UB) 46. P( A'n B' ) 53 . P (S UC ) 54. P(G US) 47 . P( A'U B) 48. P( A' UB') 55. P(B n A) 56. P(C'|B ) If X and Y are independent events and P(X) = .20 and P(Y) = .45, find the following 57 . P (G US| R ' ) 58. P(C S VB) probabilities. 49. P(X]Y) 50. P(Xny ) 51 . P ( XUY ) 52 . P ( X 'n Y ' )Name _ Elizabeth Tice Probability Review Packet Find the following probabilities. 10. At a STEM convention, there are 7 math instructors, 5 science instructors, 3 educational Answer the following questions. technology instructors, and 4 engineering instructors. If an instructor is selected, find the 1. What is the symbol U called, and what does it represent? probability of selecting a science instructor or a math instructor. 2. What is the symbol n called, and what does it represent? 3. Define mutually exclusive events. Given an example of two events that are mutually exclusive, and two events that are not mutually exclusive. 11. When rolling a die, find the probability of rolling an odd number or rolling a number less than 4. Determine if the following events are mutually exclusive. 4. Roll a die: Get a prime number or get an odd number. 5. Draw a card: Get a heart or get an ace. 12. When drawing a card, find the probability of drawing a spade or selecting a number less than five. (Don't include aces as less than five) 6. Draw a card: Get a heart or get a black card. 7. Select a student: The student is a sophomore or the student plays basketball . 8. Select a student: The student has blonde hair or the student has blue eyes. 13. When drawing a card, find the probability of drawing a club or a diamond. Create a Venn Diagram using the following information. 9 . P ( A ) = .56 , P ( B ) = .21, and P( An B ) = . 12