s.pdf Name: Geometry H Module 16 Free Response Copy and paste this document to your own new Google Doc or word processor document. YOU MUST SHOW ALL WORK TO EARN FULL CREDIT FOR CORRECT ANSWERS (or partial credit for incorrect answers). You may: . Type your answers in the space provided using your keyboard and the equation editor of your word processor, and/or On a separate sheet of paper, hand write the work, answer, and/or data display. Take a picture of what you did by hand and insert the image into the appropriate answer space of this document. The answer boxes will automatically resize to accommodate your work, answers, data displays, and/or inserted image. Express all probabilities as fractions unless otherwise specified. 1. What is the difference between probability and odds? Give an example of each. (4 pts) 2. A six-sided die is rolled. What is the probability that a number greater than 4 is rolled? (1 pt) 3. A six-sided die is rolled. What are the odds that a number greater than 4 is rolled? (1 pt) 4. Explain the difference between experimental and theoretical probability. Give an example of each. (4 pts) 5. What is the theoretical probability of getting heads? (1 pt) 6. Hgather flips a coin 8 times and gets heads 5 times. What is the experimental probability of getting heads? (1 pt) Determine if the following scenarios are mutually exclusive or overlapping. Explain your reasoning. (2 pts each) 7. You are taking a multiple choice test. Event | 8. You survey students in your school about A is you choose the correct answer. Event B is what grade they are. Event A is the person is a you choose D as the answer. senior. Event B is the person is a junior. 9. One card is randomly drawn from a deck of 52 cards. What is the probability of getting a Jack or a Spade? (3 pts) 10. One card is randomly drawn from a deck of 52 cards. What is the probability of getting a Jack or a King? (3 pts) 11. The r\\umber.s 1-15 are written on cards, the cards are shuffled and one is selected at random. Event A is drawing an even number. Event B is drawing a multiple of 3. a. Draw a Venn diagram for the situation. (4 pts) b. Find the probability that the number drawn is an even multiple of 3. (1 pt) c. Find the probability that the number drawn is an even number or a multiple of 3. (1 pt) d. Find the probability that the number drawn is an odd number. (1 pt) 12. A bank assigns random 4-digit numbers for ATM access codes. In each code, no digit is repeated. a. How many arrangements of 4 digits can be chosen from 10 digits, if order is not important? (2 pts) b. What is the probability that Edmond is assigned a code with the digits 6, 7, 8, and 9 in any order? (1 pt) 13. Jolene's mother has a job jar that contains 4 slips of paper, each with a different household chore written on it. One of the chores is washing the dishes. Daily chores are assigned by having each family member randomly select a slip of paper from the jar. After the chores for the day are assigned, all of the slips of paper are placed back into the jar for the next day. If Jolene gets to draw first each day, what is the probability that she will be assigned to wash the dishes on Monday and Tuesday? (2 pts) 14. The movements of the players in a board game are determined by the spinner below. All spaces are equally likely to occur. a. What is the probability that a player's next spin will NOT move the player forward? (1 pt) b. What is the probability that a player's next spin will move the player forward and the next spin after that will move the player backward? (3 pts) 15. The table shows the books in Tashonda's bookcase. If Tashonda takes a paperback book from her bookcase without looking, find the probability that it is a mystery. Express your answer as a decimal rounded to the nearest hundredth. (3 pts) 5 | [ Paperback | Hardbound | 16. Petra draws two cards from a standard 52-card deck. Does Petra have a greaFer probability of drawing two hearts if the she replaces the first card before the second draw, or if she does not replace the first card? Justify your answer using numbers and words. (4 pts) wepnal B Q. Q= L4 v e 17. The cars on a dealer's lot are distributed as follows. Full Size Mid-Size Compact Sub-Compact American 5 Japanese 6 European 12 4 For a sir?gle car chosen at random from the cars on this dealer's lot, let A be the event that the car chosen is American and B be the event that the car chosen is compact. a. For a single car selected from this dealer's lot, find P(A) and P(A|B). Explain your answers. (4 pts) b. Are A and B independent events? Explain. (2 pts) 18. Anna and Sanjay are playing a board game with the spinner shown below. Each section of the spinner has a number (1,2,3,4) and a color ( R=red, Y=yellow, G=green, B=blue). AP S a. What is the probability that the spinner will land on a green section? (1 pt) inse.pdf D Qa2 e ) S A b. The spinner is spun and the color is recorded. The spinner is then spun a second time and the number is recorded. Are these events independent or dependent? Explain your answer. (2 pts) c. The spinner is spun and the color is recorded. The spinner is then spun a second time and the number is recorded.What is the probability that the spinner will land on a yellow section first and the number 2 second? (3 pts) 19. A store sells rings with birthstones selected from the 12 different months of the year. The stones are arranged in a row. a. Mary picks a topaz, a sapphire, and a ruby set in a line for her ring. How many ways can these 3 stones can be arranged? (3 pts) b. How many permutations are possible with 4 different stones of any month? (3 pts) c. Suppose you choose'a ring with 5 different stones. Will you have more options if the order matter or if the order of the stones does not matter? Justify your answer using of the stones numbers and words. (5pts)