This quiz works best with JavaScript enabled. Home > English Grammar > Grammar > Advanced > Probability Models – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Probability Models Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the probability of spinning green if a spinner has 4 equal sections:red, blue, green, and yellow? A) 1/2. B) 1/5. C) 1/4. D) 1/3. Show Answer Correct Answer: C) 1/4. 2. Kara uses a random number generator 1, 500 times. Each result has an equal probability of being 1, 2, 3, 4, or 5. Which statement best predicts how many times the digit 3 will appear among the 1, 500 results? A) About 300 times. B) Exactly 500 times. C) Exactly 300 times. D) About 500 times. Show Answer Correct Answer: A) About 300 times. 3. If you spin a spinner with 6 equal sections numbered 1 to 6, what is the probability of spinning an even number? A) 1/2. B) 1/4. C) 2/3. D) 1/3. Show Answer Correct Answer: A) 1/2. 4. Is this a binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. You replace the card each time. Repeat the process 5 times. Let X = the card you observe. A) Yes. B) No, the trials are not independent. C) No, there are more than 2 outcomes. D) None of the above. Show Answer Correct Answer: C) No, there are more than 2 outcomes. 5. Which of the following trials is geometric? A) The number of texts in a row that your mom sent. B) The number of times the phones rings in a day. C) The number of text messages until you get one from your mom. D) The number of text messages that your mom sent. Show Answer Correct Answer: C) The number of text messages until you get one from your mom. 6. Which describes a non-uniform probability model? A) Selecting a ball from 3 red balls and 3 green balls. B) Heads or tails from a coin flip. C) The sum result of rolling two dice. D) The chance of a 1, 2, 3, 4, 5, or 6 from rolling a die. Show Answer Correct Answer: C) The sum result of rolling two dice. 7. When all the probabilities in a probability model are not equivalent to each other A) Tree diagram. B) Uniform probability model. C) Probability model. D) Non-uniform probability model. Show Answer Correct Answer: D) Non-uniform probability model. 8. In a bag of 24 animals, if there are 12 cats and 12 reptiles, what is the probability of selecting a cat or reptile? A) 0.75. B) 0.5. C) 1. D) 0.25. Show Answer Correct Answer: C) 1. 9. What is the probability of achieving success with the event:Rolling a die and getting a four? A) 1/2. B) 1/4. C) 1/6. D) 1/3. Show Answer Correct Answer: C) 1/6. 10. What does the n stand for in the binomial probability formula? A) Number of Successes. B) Probability of Failures. C) Probability of Successes. D) Number of trials. Show Answer Correct Answer: D) Number of trials. 11. You are taking a multiple choice test with 40 questions on it. Each question has 4 answer choices. If you completely guess on each question, how many questions do you expect to guess correctly? A) 10. B) 20. C) 8. D) None of the above. Show Answer Correct Answer: A) 10. 12. Ryan has 4 rap songs, 11 pop songs, 8 country songs, and 2 rock songs. What is the probability of Ryan picking a rock song or a pop song? A) 11/25. B) 2/25. C) 13/25. D) 22/25. Show Answer Correct Answer: C) 13/25. 13. How many ways ways can you arrange the letters in the word math? A) 15. B) 24. C) 48. D) 4. Show Answer Correct Answer: B) 24. 14. A store is handing out coupons worth 10%, 15%, 20%, or 25% off. Each coupon is equally likely to be handed out. Which of the following models could be used to simulate this situation? A) Rolling a number cube labeled one through six four times. B) Spinning a spinner with four equal sections. C) Flipping a coin four times. D) Rolling a number cube labeled one through six one time. Show Answer Correct Answer: B) Spinning a spinner with four equal sections. 15. A coin is tossed ten times. What is the probability that there are exactly 6 heads? A) 45.68%. B) 34.65%. C) 90%. D) 20.51%. Show Answer Correct Answer: D) 20.51%. 16. What is the probability of flipping a coin and getting heads? A) 1/2. B) Never, tails never fails. C) 1/4. D) 1/3. Show Answer Correct Answer: A) 1/2. 17. You are taking a multiple choice test with 40 questions on it. Each question has 4 answer choices. What is the probability that you will get at no more than 15 correct? A) 0.50. B) 0.05. C) 0.97. D) None of the above. Show Answer Correct Answer: C) 0.97. 18. What is experimental probability? A) The ratio of the number of times an event occurs to the total number of trials or experiments conducted. B) The likelihood of an event occurring based on theoretical calculations. C) The probability of an event occurring in a single trial. D) The probability that an event will not occur in a given experiment. Show Answer Correct Answer: A) The ratio of the number of times an event occurs to the total number of trials or experiments conducted. 19. What does it mean when we say a chance is uniform? A) Every outcome has the same chance of happening. B) There is only one possible outcome. C) The chance of each outcome happening changes over time. D) Every outcome has a different chance of happening. Show Answer Correct Answer: A) Every outcome has the same chance of happening. 20. Which of the following pairs of events are independent? A) Drawing two cards from a deck without replacement. B) Tossing a coin and rolling a die. C) Choosing a student from a class and then choosing another without putting the first back. D) Selecting a marble from a bag and not returning it before selecting another.TagsCCSS.HSS.IC.A.2. Show Answer Correct Answer: B) Tossing a coin and rolling a die. 21. A data set has most values clustered on the right, with a long tail to the left. How is this distribution described? A) Uniform. B) Negatively skewed. C) Positively skewed. D) Bimodal. Show Answer Correct Answer: B) Negatively skewed. 22. When a marble is drawn from a bag, there are 10 possible outcomes. The sample space, S = (W, W, W, W, S, S, S, S, B, B), where W represents a white marble, S represents a striped marble, and B represents a black marble.What is the probability of P(S)? (as a fraction) A) 2/5. B) 4/5. C) 1/3. D) 3/10. Show Answer Correct Answer: A) 2/5. 23. A marksman has 80% accuracy hitting targets at 1, 000 yards. What is the probability that she will make exactly 4 of her next 5 shots? A) 0.7373. B) 0.4096. C) 0.1369. D) 0.032. Show Answer Correct Answer: B) 0.4096. 24. What is the expected number of times a 2 is rolled when a die is thrown 60 times? A) 5 times. B) 12 times. C) 10 times. D) 8 times. Show Answer Correct Answer: C) 10 times. 25. Which of the following best describes independent events? A) The outcome of one event affects the outcome of the other. B) The outcome of one event does not affect the outcome of the other. C) Both events must happen together. D) Both events cannot happen together.TagsCCSS.HSS.IC.A.2. Show Answer Correct Answer: B) The outcome of one event does not affect the outcome of the other. 26. Alejandro is spinning a spinner with six equal-sized sections numbered 1 through 6. He spins the spinner two times. What is the probability that Alejandro will not land on the numbers 2 or 4 on either spin? A) 1/18. B) 4/9. C) 5/9. D) 2/3. Show Answer Correct Answer: B) 4/9. 27. If you spin a spinner 90 times and the probability of landing on a number is 1/6, how many times should you expect to land on that number? A) 10 times. B) 18 times. C) 15 times. D) 12 times. Show Answer Correct Answer: C) 15 times. 28. What does the P stand for in $_{n}$P$_{r}$? A) Partners. B) Positions. C) Papers. D) Permutations. Show Answer Correct Answer: D) Permutations. 29. If U = { red, blue, green, yellow, purple}A = {red, blue, yellow} what is A'? A) A' = {purple}. B) A' = {blue, red, purple}. C) A' = {red, blue green}. D) A' = {green, purple}. Show Answer Correct Answer: D) A' = {green, purple}. 30. If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6? A) 150. B) 75. C) 100. D) 50. Show Answer Correct Answer: C) 100. 31. What is the theoretical probability of an event? A) Theoretical probability is the likelihood of an event occurring based on past data. B) Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes. C) Theoretical probability is the same as experimental probability. D) Theoretical probability is calculated by dividing the number of unfavorable outcomes by the total outcomes. Show Answer Correct Answer: B) Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes. 32. A survey is sent to 250 people, and 62 people respond. If one of the 250 people is selected at random, what is the probability that the person responded? A) 0.625. B) 0.12. C) 1.00. D) 0.248. Show Answer Correct Answer: D) 0.248. 33. A marksman has 80% accuracy hitting targets at 1, 000 yards. Find the probability that she will miss exactly 2 of her next 30 shots? A) 0.0337. B) 0.4096. C) 0.7373. D) 0.1369. Show Answer Correct Answer: A) 0.0337. 34. On a game show, players roll two standard cubes. The sum of the number cubes times 100 determines the number of points they will win. What is the probability of winning at least 900 points? A) 5/36. B) 7/36. C) 5/18. D) 1/9. Show Answer Correct Answer: C) 5/18. 35. The probability of an event occurring, P(A), can be expressed as a fraction, decimal, or percent. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 36. Ricardo selects a coin at random from a bag containing quarters, dimes, nickels, and pennies. He records the type of coin he selects and returned the coin to the bag. In 20 trials, he selects a quarter 1 time and a dime 4 times.Based on his results, how many times is Ricardo expected to select a coin with a value of at least 10 cents in the next 60 trials? A) 15. B) 12. C) 6. D) 3. Show Answer Correct Answer: A) 15. 37. Bailey tossed a coin 10 times. The results were 7 heads and 3 tails. What is the experimental probability of tossing tails? A) 1/2. B) 3/7. C) 1/3. D) 3/10. Show Answer Correct Answer: D) 3/10. 38. A bag contains 5 red marbles and 5 blue marbles. You draw one marble, record its color, and then put it back before drawing again. What is the probability of drawing a red marble both times? A) $\frac{1}{10}$. B) $\frac{1}{4}$. C) $\frac{1}{2}$. D) $\frac{1}{5}$. Show Answer Correct Answer: B) $\frac{1}{4}$. 39. In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT:A Probability table may be helpful. A) 1.27. B) 2.00. C) 2.13. D) 1.97. Show Answer Correct Answer: D) 1.97. 40. When a marble is drawn from a bag, there are 10 possible outcomes. The sample space, S = (W, W, W, W, S, S, S, S, B, B), where W represents a white marble, S represents a striped marble, and B represents a black marble.What is the probability of P(W)? A) 5/10. B) 2/10. C) 4/10. D) 6/10. Show Answer Correct Answer: C) 4/10. 41. The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special? A) 8. B) 12. C) 6. D) 15. Show Answer Correct Answer: B) 12. 42. What is the sample space for flipping a coin? A) {H, H}. B) {H, T, H, T}. C) {H, T}. D) {T, T}. Show Answer Correct Answer: C) {H, T}. 43. What is the probability of rolling a 3 or 4 on a fair six-sided die? A) 2/6. B) 3/6. C) 1/6. D) 4/6. Show Answer Correct Answer: A) 2/6. 44. Flipping fair coin A) Uniform. B) Non-Uniform. C) All the above. D) None of the above. Show Answer Correct Answer: A) Uniform. 45. 28% of all MPHS students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What does 50 represent? A) N. B) P. C) Phat. D) Standard deviation. Show Answer Correct Answer: A) N. 46. The likelihood of two or more related events occurring is called- A) Compound probability. B) Experimental probability. C) Theoretical probability. D) Simple probability. Show Answer Correct Answer: A) Compound probability. 47. Two dice are rolled. What is the probability that the sum of the numbers on the two dice is 7? A) $\frac{5}{36}$. B) $\frac{1}{12}$. C) $\frac{1}{36}$. D) $\frac{1}{6}$. Show Answer Correct Answer: D) $\frac{1}{6}$. 48. If two coins are flipped, what is the probability of getting one head and one tail? A) 1/4. B) 1/3. C) 2/3. D) 1/2. Show Answer Correct Answer: D) 1/2. 49. There are six marbles in a bag. Three are green and three are yellow. A) Uniform. B) Non-Uniform. C) All the above. D) None of the above. Show Answer Correct Answer: A) Uniform. 50. A school cafeteria offers 3 types of sandwiches and 2 types of drinks. If a student randomly selects one sandwich and one drink, how many possible meal combinations are there? A) 5. B) 3. C) 6. D) 9TagsCCSS.HSS.IC.A.2. Show Answer Correct Answer: C) 6. 51. If a coin is tossed 10 times and results in 7 heads and 3 tails, what is the experimental probability of getting tails? A) 1/3. B) 1/2. C) 2/5. D) 3/10. Show Answer Correct Answer: D) 3/10. 52. Classify:The time it takes for a light bulb to burn out. A) Discrete. B) Continuous. C) All the above. D) None of the above. Show Answer Correct Answer: B) Continuous. 53. The cafeteria is serving three kinds of sandwiches:tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks:milk (M) or water (W). Which shows the sample space of possible combinations? A) TW, CW, PW. B) TW, TM, TC, CW, PW. C) TW, TM, CW, CM, PW, PM. D) TCP, MW. Show Answer Correct Answer: C) TW, TM, CW, CM, PW, PM. 54. Of Americans live below the poverty level. You plan to sample a random 100 Americans. What is the probability that you find fewer than 10? A) 0.26. B) 0.09. C) 0.17. D) None of the above. Show Answer Correct Answer: C) 0.17. 55. 2 out of 3 dentists prefer Colgate brand toothpaste. How many dentists would you expect to find that like Colgate toothpaste out of 350 dentist? A) 235. B) 117. C) 175. D) None of the above. Show Answer Correct Answer: A) 235. 56. If you draw a card from a deck, replace it, and draw again, are the two draws independent? A) Yes. B) NoTagsCCSS.HSS.IC.A.2. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 57. A sports bag contains 3 tennis balls, 4 baseballs, and 8 golf balls. Each is equally likely to be chosen. Which of the following models could be used to simulate this situation? A) Flipping a coin fifteen times. B) Spinning a spinner with three equal sections. C) Choosing from 3 red marbles, 4 yellow marbles, and 8 blue marbles. D) Rolling a number cube labeled one through six fifteen times. Show Answer Correct Answer: C) Choosing from 3 red marbles, 4 yellow marbles, and 8 blue marbles. 58. If an event has a probability of 0, what does that mean? A) It means that the event is impossible and will not occur. B) It means that the event is very likely to occur. C) It means that the event will occur with certainty. D) It means that the event is equally likely to occur or not occur. Show Answer Correct Answer: A) It means that the event is impossible and will not occur. 59. According to the Census Bureau report, 12.7% of Americans live below the poverty level. You plan to sample 25 Americans. What is the probability that at least 2 people will be below the poverty level? A) 84%. B) 3%. C) 37%. D) None of the above. Show Answer Correct Answer: A) 84%. 60. It has been estimated that about 30% of frozen chicken contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens? A) .118. B) .961. C) .882. D) .039. Show Answer Correct Answer: D) .039. Next →Related QuizzesGrammar QuizzesEnglish Grammar QuizzesProbability Models Quiz 2Probability Models Quiz 3Probability Models Quiz 4Case Marking QuizCase System QuizFunctional Grammar QuizIdeational Metafunction QuizInterpersonal Metafunction Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books