Name _______________________________________ Period _____ Date _______________ Course 2: 13.1-13.3 Check for Understanding outcomes favorable theoretical tree diagrams the counting principle total experimental Use the word bank to fill in the blanks for #1-4. 1. To find the probability of an event, write the ______________________ outcomes over the __________________________ possible outcomes. 2. __________________________ probability is based on knowing all of the equally likely outcomes. 3. ___________________________ or _____________________________ can help you determine the total number of possible outcomes. 4. Possible results are called ___________________________. 5. What are the three ways you can write a probability? __________________________________________________________________________ __________________________________________________________________________ You have a bag of marbles. There are 8 blue, 6 green, and 12 yellow marbles. Use this information to find the probabilities for #6-8. Simplify if possible. 6. P(green) 9. You roll a number cube. 7. P(blue or yellow) 8. P(not yellow) a) What is the probability you roll an even number? Write your answer as a percent. b) Predict how many times you will roll an even number in 300 rolls. 10. There are a total of 50 gumballs in a bag. 20% of the gumballs are red, 40% of the gumballs are orange, 30% of the gumballs are yellow, and 10% of the gumballs are white. a) How many gumballs are red? Orange? Yellow? White? b) What is the probability of choosing a red OR white gumball? Use the following information to draw a tree diagram. 11. You are having a cookout. Your guests can choose from hamburgers or hotdogs. They can also choose pasta salad or fruit. For a beverage, they can choose from Pepsi, Sprite or water. Finally, they get to choose a cookie or brownie for dessert. 12. How many different options do your guests have? ____________________ 13. What is the probability a guest will choose an option that includes both a hot dog and a Pepsi? Use the counting principle to answer the following questions 14. In student council 3 students are running for president, 4 students running for vice-president, 2 students running for secretary, and 2 students running for treasurer. How many different ways can the student council officers be chosen? 15. If on a license plate there are 3 digits followed by 3 letters. How many different license plates are possible? 16. You roll a number cube then flip a coin twice. What is the probability of getting a multiple of 3 and two heads? (think 17. = ) You have to pick a 4 digit PIN. What is the probability that you choose a PIN with all four of the same even number?
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