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Compound Events: Probability of Rolling a Die and Spinning a Spinner

Learn how to calculate the probability of compound events involving rolling a die with eight sides and spinning a spinner. Practice finding the probability of specific outcomes such as landing on odd or even numbers, colors, or letters.

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Compound Events: Probability of Rolling a Die and Spinning a Spinner

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  1. Compound Events 12-5 Course 1 Warm Up Problem of the Day Lesson Presentation

  2. Compound Events 12-5 3 1 __ __ 8 2 Course 1 Warm Up A game die with eight sides numbered 1 through 8 is rolled. Find each probability. 1.P(1, 2, or 3) 2.P(even number) 3.P(number greater than 9) 0

  3. Compound Events 12-5 1 __ 3 Course 1 Problem of the Day Sam and Pam can have an apple, an orange, or a pear. What is the probability that they will pick the same snack?

  4. Compound Events 12-5 Course 1 Learn to list all the outcomes and find the theoretical probability of a compound event.

  5. Compound Events 12-5 Course 1 Insert Lesson Title Here Vocabulary compound event

  6. Compound Events 12-5 Course 1 A compound event consists of two or more single events. For example, the birth of one child is a single event. The births of four children make up a compound event.

  7. Compound Events 12-5 Course 1 Additional Example 1A: Finding Probabilities of Compound Events Jerome spins the spinner and rolls a fair number cube. Find the probability that the number cube will show an even number and that the spinner will show a B.

  8. Compound Events 12-5 Course 1 Additional Example 1A Continued First find all of the possible outcomes. Number Cube Spinner There are 18 possible outcomes, and all are equally likely. Three of the outcomes have an even number and B: 2, B; 4, B; and 6, B.

  9. Compound Events 12-5 3 ways events can occur P(even, B)= 1 3 __ ___ = = 6 18 ____________________ 18 possible outcomes Write your answer in simplest form. Course 1 Additional Example 1A Continued

  10. Compound Events 12-5 1 way event can occur P(4, A)= 1 ___ = 18 ____________________ 18 possible outcomes Course 1 Additional Example 1B: Finding Probabilities of Compound Events Find the probability that the number cube showing 4 and the spinner showing A. Only one outcome is 4, A.

  11. Compound Events 12-5 1 ___ = 18 1 way event can occur ____________________ P(tails, purple, green)= 18 possible outcomes Course 1 Additional Example 1C: Finding Probabilities of Compound Events In the experiment proposed in the student book, what is the probability of the coin showing tails, the spinner showing purple, and a green marble being chosen? There are 18 equally likely outcomes.

  12. Compound Events 12-5 Remember! You could also use the Fundamental Counting Principle to find the total possible outcomes. coin • spinner • marble 2 • 3 • 3 = 18 total outcomes Course 1

  13. Compound Events 12-5 Course 1 Check It Out: Example 1A Kiki spins the spinner and rolls a fair number cube. Find the probability of the number cube showing an odd number and the spinner showing A.

  14. Compound Events 12-5 Course 1 Check It Out: Example 1A Continued First find all of the possible outcomes. Number Cube Spinner There are 18 possible outcomes, and all are equally likely.

  15. Compound Events 12-5 3 ways events can occur P(odd, A)= 1 3 __ ___ = = 6 18 ____________________ 18 possible outcomes Write your answer in simplest form. Course 1 Check It Out: Example 1A Continued Three of the outcomes have an odd number and BA: 1, A; 3, A; and 5, A.

  16. Compound Events 12-5 1 way event can occur P(6, C)= 1 ___ = 18 ____________________ 18 possible outcomes Course 1 Check It Out: Example 1B Find the probability of the number cube showing 6 and the spinner showing C. Only one outcome is 6, C.

  17. Compound Events 12-5 1 ___ = 12 1 way event can occur ____________________ P(heads, heads, red)= 12 possible outcomes Course 1 Check It Out: Example 1C In a similar experiment, what is the probability of two coins showing heads, and a red marble being chosen from a bag of marbles consisting of 1 red, 1 green, and 1 blue? There are 12 equally likely outcomes.

  18. Compound Events 12-5 1 1 1 __ __ __ 6 3 6 Course 1 Insert Lesson Title Here Lesson Quiz An experiment involves one spin of the spinner and one flip of the coin. Find each probability. 1. What is the probability of the spinner landing on red and the coin landing tails up? 2. What is the probability of the spinner landing on an odd number and the coin landing heads up? 3. What is the probability of the spinner landing on an even number and the coin landing tails up?

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