Probability 1. Destiny surveyed customers in a restaurant to find out their favorite meal. The results of the survey are shown in the table. One person in the restaurant will be picked at random. Based on the given information, which statement is true? (7.6H) FAVORITE MEALS MEAL NUMBER OF PEOPLE Hamburger and French fries 17 Spaghetti 8 Chili 12 Vegetarian delight 3 A This person s favorite meal is twice as likely to be hamburger and French fries as it is to be spaghetti. B This person s favorite meal is four times as likely to be chili as it is to be vegetarian delight. C This person s favorite meal is more likely to be chili as it is to be vegetarian delight. D This person s favorite meal is equally likely to be either vegetarian delight or spaghetti. 2. Brian has a coin and a fair die. The die is labeled 1 through 6. He flips the coin once and rolls the number cube once. The sample space for this compound event is as follows: H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6. What are the chances of Brian tossing a tails and rolling an even number? Write as a fraction and a percent. (7.6I) 3. A bag contains 9 red tiles, 10 blue tiles, and 6 green tiles. A tile is randomly drawn from the bag. Which statement is true? (7.6E) A The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%. B The probability of drawing a blue tile is 30% and the probability of NOT drawing a blue tile is 70%. C The probability of drawing a green tile is 25% and the probability of NOT drawing a green tile is 75%. D The probability of drawing a red tile is greater than the probability of NOT drawing a green tile.
4. Matthew has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. He will randomly select 2 coins from the bag one at a time without replacement. (7.6D) What is the probability that Matthew will select a dime first and then a penny? About how many times would you expect Matthew to select a dime then penny if he runs the experiment 600 times? 5. Jimmy rolls two 1-6 number cubes 80 times. Is it likely he will roll a sum of 5 more than 12 times? (7.6H) A Yes, because the probability of rolling a sum of 5 is 1 and 1 80 = 13 1 which is more than 12. 6 6 3 B Yes, because the probability of rolling a sum of 5 is 1 and 1 80 = 20 which is more than 12. 4 4 C No, because the probability of rolling a sum of 5 is 1 and 1 80 = 8 which is less than 12. 10 10 D No, because the probability of rolling a sum of 5 is 1 and 1 80 = 8 8 which is less than 12. 9 9 9 6. The table shows the number of different color balloons set up for a dart game at a carnival. Which statement is true? (7.6H) Balloon Color Number of Balloons red 5 yellow 6 orange 5 green 4 blue 1 purple 4 A The probability of hitting a red balloon is as likely as hitting a yellow balloon. B The probability of hitting a blue balloon is greater than hitting the other color balloons. C The probability of hitting a yellow balloon is less than hitting the other color balloons. D The probability of hitting a green balloon is as likely as hitting a purple balloon.
7. The arrow on each spinner shown below will be spun one time. Which of the following diagrams shows all the possible outcomes when each arrow is spun once? (7.6A) 8. Allie is deciding when to take her vacation. She wrote each month of the year on a separate piece of paper and put the pieces in an envelope. The table shows the results of picking a piece of paper from the envelope. What is the experimental probability that Allie will take her vacation during a month that starts with a J? (7.6I) Month Frequency Month Frequency Jan. 9 July 4 Feb. 6 Aug. 9 Mar. 12 Sept. 15 April 6 Oct. 5 May 7 Nov. 9 June 10 Dec. 8
9. Sara has the following items in her book bag: one red 12-inch ruler, one green 12-inch ruler, one black pen, one blue pen, and one purple pen. Sara will randomly select one 12-inch ruler and one pen. What is the probability of selecting a red ruler and either a purple or blue pen? Write as a fraction and percent. (7.6I) 10.The places Theresa can choose to go on Friday or Saturday are listed below. She can go to 1 place each day. Concert Movie Park Gym Which list shows all the possible outcomes of 1 place and 1 day? (7.6A)
11.The list below shows the number of shirts of different types that Scarlett sold one day at a store. Shirt with vertical stripes: 6 Shirt with horizontal stripes: 4 Shirt with a school mascot: 5 Shirt that is plain: 18 Based on these results, what is the most reasonable prediction of the number of shirts with a school mascot that will be sold out of the next 200 shirts sold? (7.6C) A 6 B 31 C 25 D 36 12.Sara has the following items in her book bag: one red 12-inch ruler, one green 12-inch ruler, one black pen, one blue pen, and one purple pen. Sara will randomly select one 12-inch ruler and one pen. If Sara records the results of selecting one ruler and one pen, what is the probability of selecting a green ruler and either a black or blue pen? (7.6I) Write your answer as a fraction and a percent. Outcome Frequency Red ruler, black pen 50 Red ruler, blue pen 50 Red ruler, purple pen 70 Green ruler, black pen 66 Green ruler, blue pen 67 Green ruler, purple pen 97 13.The table shows the types of movies and the numbers of DVDs rented by customers at a store in one day. Based on the data in the table, what is the probability that a random customer will not rent a drama? (7.6E) A 1 6, because the probability of renting a drama is 5 6 B 5 6, because the probability of renting a drama is 1 6 C 4 5, because the probability of renting a drama is 1 5 DVD RENTALS TYPE OF MOVIE Drama 25 Comedy 41 Family 57 Sci-Fi 27 NUMBER OF RENTALS D 1 5, because the probability of renting a drama is 4 5