Name: Period: Date: 7 th Pre-AP: Probability Review and Mini-Review for Exam 4. Mrs. Bartilotta s mathematics class has 7 girls and 3 boys. She will randomly choose two students to do a problem in front of the class. What is the probability that she will choose 2 boys?. Sam has a bag that contains 7 yellow, 4 red, and 3 green marbles. A marble is drawn and placed in his pocket. He then draws a 2 nd marble. What is the probability he will have 2 yellow marbles? A. 4 B. C. 3 3 D. 2 2. A game requires that a bean-bag be tossed into overlapping squares to receive points. What is the probability that the bean bag will be tossed into the shaded region? 5. A bag contains 7 white, 5 clear, and 3 green marbles. Two marbles are drawn, but the first marble is replaced. What is the probability that the first marble is green and the second marble is white? 5 5 0 3. A store at the mall is giving a Spring Break prize to a randomly selected student and a randomly selected teacher at a middle school. Faye predicts the prizes will go to a female student and a male teacher. 6. Darin played a game with two spinners. The game is played by spinning each spinner and then adding the two resulting numbers. The goal is to spin two numbers that add up to eleven. What is the probability that Darin will spin two numbers that add up to eleven? What is the probability that Faye is correct?
7. Corey is playing a game with cards. If she draws 2 cards at random, what is the probability of selecting 2 stars? 9. Jack is playing a game that uses the 4 letter cards and 2 number cards shown. A. 0 B. 2 5 C. 4 0 To play the game, Jack will randomly draw letter card and then draw number card. Make an organized list to show all the possible outcomes when Jack draws letter card and then number card. (Hint: If needed, start with a tree diagram, then make a list.) D. 4 25 8. Participants at a fun run receive a T-shirt. The T- shirts are: v-neck or crew neck in style purple or white in color small, medium, or large in size. Sue started to make a tree diagram to help her determine the total number of different kinds of T- shirts available. Complete the tree diagram to represent all the different kinds of T-shirts available. 0. A teacher randomly selects types of books for students. The table shows the probability of selecting each type. The teacher will choose different types for two students. What is the most likely outcome for student and student 2? A. poetry, humor B. humor, mystery C. historical fiction, humor D. poetry, historical fiction
. The table shows the ages of the 8 children at a daycare center. 4. The cafeteria offers 3 different meats, 4 different vegetables, 5 different desserts and 2 different drinks for lunch. How many different meals consisting of meat, vegetable, dessert, and drink are offered? Use the counting principle. What is the probability that the first child to arrive one morning is 5 years old and the second child to arrive is 7 years old? 5. Boseda is designing a board game. On their turns, players spin a spinner to determine if they will draw a red, blue, green, or yellow card. Boseda draws the spinner so that half the spinner is red and the other half is divided equally between blue, green, and yellow. 2. Orien s favorite color is yellow. One day, he makes a tally chart of the yellow cars that drive by the apartment he lives in. During a typical game, the spinner is spun 20 times. Based on theoretical probability, how many times will the spinner stop in the GREEN region of the spinner when the spinner is spun 20 times? Based on the data in the table, determine the experimental probability that the next car that drives by the apartment is yellow. 6. The letter e is the most commonly used letter in the English language. In a list of 2 words, the letter e appears in 8 of the words. Two different words from the list are randomly chosen. What is the probability that the letter e appears in both words? 3. The product code used by Pitz Toyz consists of the letter P, followed by a digit from to 9, followed by another letter, such as PA. Use the counting principle to determine how many different codes are possible?
7. A clothing store surveys 00 girls about the color of T- shirt they prefer. The results are given in the table below. Based on the information given, how many pink T-shirts should be ordered in an order of 200? T-Shirt Colors Color Number Blue 5 Pink 40 Purple 35 Orange 0 2. To get home from work, Curtis must get on one of the three highways that leaves the city. He then has a choice of four different roads that lead to his house. In the diagram below, each letter represents a highway, and each number represents a road. If Curtis randomly chooses a route to travel home, what is the probability that he will travel Highway B or Highway C and then Road 4? 8. Beth spun a spinner 36 times and recorded her results in the table below. A. 6 B. 2 Color Spins Red 8 Blue 6 Orange 3 yellow 9 C. 4 D. 3 22. You roll two dice. The first die shows a ONE and the other die rolls under the table and you cannot see it. Now, what is the probability that both die show ONE? Based on her results, what is the probability that Beth s next spin will land on red? A. 3 B. 6 C. 36 D. 9 36 A. 8 B. 2 C. 6 D. 4 Start Mini- Review for the EXAM 9. A bag of candy contains 0 cherry, 6 melon, 9 orange, and 5 grape candies. Lashanda picked a melon but decided she wanted grape. She put the melon back and reached in to pick again. What is the probability that her 2nd pick will be a grape candy? Express your answer as a decimal.. 20. Boris has a coin and a number cube. The number cube is labeled through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on an even number? A. 2 3 B. 4 Calculate the following expressions, then use the Venn diagram to list all the sets that each answer belongs to. a.) -25-5 = Sets: { } b.) 20.5 x.5 = C. 2 Sets: { } c.) 6.8 25.8 = D. 6 Sets: { }
2. Four teams went on a scavenger hunt. They reported their results in a different way. Which team had the highest score? A. The Blue Team collected 64% of the items B. The Red Team collected 3 out of 20 items. C. The Green Team collected 3 of the items. 5 D. The Yellow Team lacked 30% of the items. 3. Study the coordinate plane below. 6. Cheri has a piece of ribbon 4 5 yards long. She needs 8 pieces that are of a yard long. How much ribbon 3 will be left over if she cuts as many pieces as possible? 7. Liam and Grace are both practicing their parts for the school musical. Liam practiced for 3 7 hours and 2 Grace practiced for 2 hours. How much more 6 would they have to practice if their goal was to reach a combined total of 6 hours? 8. The total cost, c, of b boxes of chocolate chip cookies from the M and M Bakery can be calculated with the equation below. 8b + 0.06(8b) = c How much would it cost to purchase 6 boxes of chocolate chip cookies? All of the following ordered pairs are in the shaded region except- A. (-2 3 4, 4 8 ) 9. Find the value of the expression: B. (-4.3, 5.) C. ( 5 7, 6 5 ) D. (0.5, 4.2) 4. Order 3 least to greatest. 4, 0.4, 0.35,, 30%, and.2 from 5 0. An equation is represented by the model shown. 5. What is the average height of Michael, Paola, and Samantha? Height in Name inches Michael 67 4 Paola 6 5 6 What is the value of? Samantha 59 3 8
. What is the value of x in the equation modeled below? = x = = 6. A jewelry store sells bead necklaces. Each necklace costs $4 for the wire and $0.25 per bead. Select the answer below that represents this relation correctly in two ways. C is the cost in dollars and n is the number of beads. A. B. = a.) Equation modeled: b.) Solution: 2. A submarine was situated 800 feet below sea level. A shark was swimming at -250 feet from sea level. What is the shark s position in relation to the submarine? 3. A scientist measured the length of a plant cell to be 5 micrometers. A micrometer is 0.00000 meter. Write this in scientific notation? C. D. 4. A light year is defined as approximately 5,880,000,000,000 miles. Which distance is the same as a light year? A. 5.88 0 3 miles B. 5.88 0 2 miles C. 5.88 0 miles D. 5.88 0 0 miles 5. Kareema earned $22.50 for 3 hours of baby-sitting. At this rate, which equation can be used to find y, the amount of money Kareema will earn for x hours of baby-sitting?
7. The table shows the relationship between c, the cost of a long distance phone call and m, the number of minutes used. Which equation shows the total cost of a long distance phone call for m number of minutes? A. c = 0.55m + 0.5 C. c = 0.70(m) B. c = 0.5m + 0.55 D. c = 0.5m 8. The table below shows the relationship between the number of a term in a pattern and the value of that term. The same rule is used to find the value of the term in each row. Based on the pattern shown in the table, which of the following expressions could represent the value of the nth term? A. 3n B. n + 2 C. n + 5 D. 2n + Number of minutes (m) Total Cost (c) in dollars 0.70 2 0.85 3.00 4.5 5.30 2. In 202, Arian Foster scored 3 touchdowns. However, in 2009, Arian only scored 3 touchdowns in his first season with the Texans. What is his percent of increase? 22. George bought music software for his new computer. He also picked out several accessories that he wanted to buy. The software cost $450. The accessories cost $50 each He paid a 7% tax on the software and each accessory. He has $700 in total to spend. After he pays for the software, how many accessories will George be able to buy? 23. Melanie was calculating the average of her 4 test scores. She accidently divided the sum by 3, which gave her an average of an 84. What is Melanie s correct average? 24. Jennifer has an average of 88% on 5 quizzes. If her teacher drops the lowest quiz grade, a 68%, what will her new quiz average be? 25. These box-and-whisker plots summarize the heights of the boys and the heights of the girls in an eighthgrade class. 9. A dolphin was swimming on the surface of the water. It then descended at a rate of 0.7 meters per second for 4 minutes. Then it ascended at a rate of 0.5 meters per second for 2 minutes and 20 seconds. What is its depth from the surface of the water now? 20. The library is ordering 832 new books. The ratio of fiction to non-fiction books is 3 to 5. The average price of the fiction books ordered by the library is $7.00. What is the total cost of the new fiction books? Based on the data in these box-and-whisker plots, which statement is true? A. The tallest student in the class is a girl. B. The shortest student in the class is a boy. C. The range of the boys heights is greater than the range of the girls heights. D. The median height of the girls is greater than the median height of the boys.
26. The bar graph below shows the number of grams of fiber per serving for six different fruits. 28. The enrollment at Thomas High School increased from,240 in 992 to,302 in 993. By approximately what percent did the school s enrollment increase from 992 to 993? A. 2% B. 5% C. 5% D. 05% 29. Consider the graph below. a.) What is the median number of grams of fiber per serving for the six fruits? A. 3.2 B. 3.4 C. 3.6 D. 4.0 b.) What fraction of the grams shown does watermelon represent? 27. The students at Smithfield Middle School are enrolled in Art, Music, both Art and Music, or neither Art nor Music. A total of 88 students are enrolled in both Art and Music. A total of 94 students are enrolled in Art. A total of 43 students are enrolled in Music. There are a total of 35 students at the school. Complete the Venn diagram below. Which relationship is most likely to be represented by this graph? A height vs. weight B pay vs. number of hours worked C gas remaining vs. distance travelled D volume of water in a bucket vs. its mass 30. What is the value of y when x = 3? 4x 2y = 7 a.) What is the number of students who are enrolled in Music but not in Art? b.) What is the number of students who are enrolled in neither Art nor Music?