This quiz works best with JavaScript enabled. Home > Grammar > Advanced > Probability Models – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Probability Models Quiz 1 (25 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) 1/3. C) 1/4. D) 1/5. 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) Exactly 500 times. B) About 500 times. C) Exactly 300 times. D) About 300 times. Show Answer Correct Answer: D) 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) 1/3. B) 1/4. C) 1/2. D) 2/3. Show Answer Correct Answer: C) 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 text messages until you get one from your mom. B) The number of text messages that your mom sent. C) The number of times the phones rings in a day. D) The number of texts in a row that your mom sent. Show Answer Correct Answer: A) 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. Layla has 2 pairs of shoes and 6 pairs of socks. If each pair of socks and each pair of shoes has the same probability of being chosen, what is the best simulation to show the probability of choosing any given combination? A) Roll a die and flip a coin. B) Roll a die twice. C) Flip a coin 6 times. D) Flip a coin 2 times. Show Answer Correct Answer: A) Roll a die and flip a coin. 8. When all the probabilities in a probability model are not equivalent to each other A) Probability model. B) Uniform probability model. C) Non-uniform probability model. D) Tree diagram. Show Answer Correct Answer: C) Non-uniform probability model. 9. 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) 0.5. B) 1. C) 0.25. D) 0.75. Show Answer Correct Answer: B) 1. 10. What is the probability of achieving success with the event:Rolling a die and getting a four? A) 1/6. B) 1/4. C) 1/2. D) 1/3. Show Answer Correct Answer: A) 1/6. 11. What does the n stand for in the binomial probability formula? A) Number of trials. B) Number of Successes. C) Probability of Successes. D) Probability of Failures. Show Answer Correct Answer: A) Number of trials. 12. 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. 13. 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) 2/25. B) 13/25. C) 11/25. D) 22/25. Show Answer Correct Answer: B) 13/25. 14. How many ways ways can you arrange the letters in the word math? A) 15. B) 4. C) 24. D) 48. Show Answer Correct Answer: C) 24. 15. 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) Flipping a coin four times. B) Spinning a spinner with four equal sections. C) Rolling a number cube labeled one through six one time. D) Rolling a number cube labeled one through six four times. Show Answer Correct Answer: B) Spinning a spinner with four equal sections. 16. A coin is tossed ten times. What is the probability that there are exactly 6 heads? A) 20.51%. B) 90%. C) 45.68%. D) 34.65%. Show Answer Correct Answer: A) 20.51%. 17. 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. 18. 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. 19. What is experimental probability? A) The likelihood of an event occurring based on theoretical calculations. B) The ratio of the number of times an event occurs to the total number of trials or experiments conducted. 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: B) The ratio of the number of times an event occurs to the total number of trials or experiments conducted. 20. What does it mean when we say a chance is uniform? A) Every outcome has the same chance of happening. B) The chance of each outcome happening changes over time. C) There is only one possible outcome. D) Every outcome has a different chance of happening. Show Answer Correct Answer: A) Every outcome has the same chance of happening. 21. 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. 22. A data set has most values clustered on the right, with a long tail to the left. How is this distribution described? A) Bimodal. B) Negatively skewed. C) Positively skewed. D) Uniform. Show Answer Correct Answer: B) Negatively skewed. 23. 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) 1/3. B) 3/10. C) 2/5. D) 4/5. Show Answer Correct Answer: C) 2/5. 24. 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) 0.032. B) 0.4096. C) 0.1369. D) 0.7373. Show Answer Correct Answer: B) 0.4096. 25. What is the expected number of times a 2 is rolled when a die is thrown 60 times? A) 5 times. B) 8 times. C) 10 times. D) 12 times. Show Answer Correct Answer: C) 10 times. 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