Name__________________________________________ Period______ Date____________ LEVEL 1 – 4.1 Probability Find each probability for 1 roll of a regular number cube. Write as a fraction in simplest form. 1. P(2) 2. P(3, 4 or 5) 3. P(8) 4. P(even number) 5. P(number less than 3) 6. P(1 through 6) A student is chosen at random from a 7th grade math class of 16 girls and 8 boys. Find each probability. 7. P(girl) 8. P(boy) 9. P(not a boy) 10. P(boy or girl) 11. P(neither boy nor girl) 12. P(not a girl) Name__________________________________________ Period______ Date____________ LEVEL 2 – 4.2 Probability to Predict (Hint: Use Proportions) 1. You plant 20 marigold seeds and 12 of them grow into flowers that bloom. If you plant 10 more marigolds, predict how many would bloom. 2. Cameron threw three touchdown passes in one game out of 9 touchdown pass attempts. a. Find the experimental probability Cameron will throw a touchdown pass when attempted. b. Cameron has 12 touchdown pass attempts in a game. Predict how many touchdowns he completes. Name__________________________________________ Period______ Date____________ LEVEL 3 – 4.3 Probability & Data Displays 1. Mariah randomly polled 100 students. She asked who they planned to vote for as class president. The results are in the pie chart below. a. Find P(Juan). b. Find P(Maria). Nigel 30 Juan 20 Maria 50 c. Find P(Nigel). d. There are 400 students voting. Predict how many students will vote for Maria. 2. Kylie interviewed 40 random students to find their favorite elective class in school. The results are shown below. Art Music PE Drama Class 20 6 4 Number of Students 10 a. Draw a pie chart to represent Kylie’s survey results. b. If there are 600 students in the school, use experimental probability to predict how many students favor Drama. Name__________________________________________ Period______ Date____________ LEVEL 4 – 4.4 Compound Probabilities Find the number of possible outcomes for each situation using a list, tree diagram OR table. Show your work, on the back if necessary. 1. You roll a number cube two times. How many outcomes are possible? 3. Kendall has three jars of golf balls. One jar has a white and pink golf ball. The second jar has an orange and purple golf ball. The third jar has a yellow and red golf ball. She chooses one golf ball from each jar. How many outcomes are possible? 4. Natalia owns a restaurant. Each customer chooses from a main dish (hamburger or hot dog), a side dish (french fries, apple slices or veggie sticks), and a drink (soda, tea or juice). How many different meals are possible? Name__________________________________________ Period______ Date____________ LEVEL 5 – 4.5 Compound Probability Using Multiplication Find the number of possible outcomes for each situation. 1. You roll a number cube four times. How many outcomes are possible? 2. Martin takes a test that has five multiple choice questions. Each question has three possible answers. If Martin guesses on each question, in how many different ways can he answer the questions on the test? 3. A sandwich shop has wheat, white and oat bread on their menu. Their meats include turkey, roast beef and ham and they serve tomatoes and lettuce for vegetables. Customers can also order a side of potato chips or cole slaw. How many different lunch orders are possible if a person chooses one type of bread, one type of meat, one vegetable and one type of side? Name__________________________________________ Period______ Date____________ LEVEL 6 – 4.1 Probability 13. Color the spinner to match the given probabilities. 5 1 1 P(yellow) = P(blue) = P(green) = 12 4 6 P(red) = 1 6 14. Mark and Abby played a game which required flipping a coin. Mark won when the coin landed heads and Abby won when the coin landed tails. Below is the table showing their wins. Person Number of Wins Mark 10 Abby 15 a. Find the experimental probability Mark wins. b. Find the experimental probability Abby wins. c. Find the theoretical probability Mark will get a win on the next flip of the coin. Name__________________________________________ Period______ Date____________ LEVEL 7 – 4.2 Probability to Predict (Hint: Use Proportions) 3. Lana surveyed 30 students. She asked for their favorite type of movie. Their responses are below. Comedy Drama Action Documentary Movie Type 6 5 15 4 Number of Students a. Find the experimental probability a student will pick each of the four types of movies. Movie Type Comedy Drama Action Documentary Experimental Probability b. Use the probability in part a to predict how many students out of 60 students would choose drama as their favorite type of movie. Name__________________________________________ Period______ Date____________ LEVEL 8 – 4.3 Probability & Data Displays 3. The histogram to the right shows the number of students in a math class with each grade. a. How many students are in the math class? Number of Students b. Which interval would have the grade 70%? Student Grades 15 10 c. Which interval of grade was most common? 5 1 d. Find the probability a random student chosen will be earning a B (80-90). 3 5 6 5 50 60 70 80 90 100 Grades (percentages) e. The teacher teaches a total of 120 students in all math classes. Predict how many students are earning a B. Name__________________________________________ Period______ Date____________ LEVEL 9 – 4.4 Compound Probabilities Find each probability. Use a list, tree diagram OR table to identify the favorable outcomes and the sample space. 5. You roll a number cube and toss two coins. What is the probability of rolling a 2 and tossing two heads? 6. Manny packed three pairs of shorts (brown, white and blue), five shirts (green, blue, white, black and striped) and four pairs of shoes (tennis, flip-flops, sandals and boots). What is the probability he will randomly choose his brown shorts, blue shirt and boots as an outfit? 7. Jeremy has a deck of cards numbered 1 – 12. He picks one card and then replaces it. Then he picks another card. What is the probability he picks a 1 and then a 12? 8. Sebastian tosses three coins. What is the probability he tosses two heads and one tail? Name__________________________________________ Period______ Date____________ LEVEL 10 – 4.5 Compound Probability Using Multiplication Find each probability. 4. Kyle has a deck of cards numbered 1 – 10. He randomly picks one card, replaces it and then shuffles the cards. He repeats this two more times. What is the probability Kyle picks the cards 5, 5 and 5? 5. Petra has a jar full of marbles. It has 30 blue marbles and 70 red marbles. She randomly chooses one marble, replaces it and then chooses a second marble. a. What is the probability Petra chose two blue marbles? b. What is the probability Petra chose two red marbles? 6. Genevieve has to pick a two-digit or three-digit code for her locker combination. The digits can be repeated. Use probability to explain why she should choose a three-digit code instead of a twodigit code.
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