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

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

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) 3 8 __ 1 2 0 Course 1 12-5 Compound Events

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? 1 3 __ Course 1 12-5 Compound Events

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

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

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. Course 1 12-5 Compound Events

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. Course 1 12-5 Compound Events

Additional Example 1A Continued 123456 A1, A2, A3, A4, A5, A6, A B1, B2, B3, B4, B5, B6, B C1, C2, C3, C4, C5, C6, C Number Cube Spinner First find all of the possible outcomes. 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. Course 1 12-5 Compound Events

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

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. P(4, A)= 18 possible outcomes ____________________ 1 way event can occur = 1 18 ___ Course 1 12-5 Compound Events

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. P(tails, purple, green)= 18 possible outcomes ____________________ 1 way event can occur = 1 18 ___ Course 1 12-5 Compound Events

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

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. Course 1 12-5 Compound Events

Check It Out: Example 1A Continued 123456 A1, A2, A3, A4, A5, A6, A B1, B2, B3, B4, B5, B6, B C1, C2, C3, C4, C5, C6, C Number Cube Spinner First find all of the possible outcomes. There are 18 possible outcomes, and all are equally likely. Course 1 12-5 Compound Events

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

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. P(6, C)= 18 possible outcomes ____________________ 1 way event can occur = 1 18 ___ Course 1 12-5 Compound Events

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. P(heads, heads, red)= 12 possible outcomes ____________________ 1 way event can occur = 1 12 ___ Course 1 12-5 Compound Events

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? Insert Lesson Title Here 1 6 __ 1 3 1 6 Course 1 12-5 Compound Events

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