6 th Grade Math HOMEWORK Page #9 and #14-15 Course Compound Events

Course Compound Events Students will understand probability by completing the following assignments. Learn to estimate the likelihood of an event and to write and compare probabilities. Learn to find the experimental probability of an event. Learn to find the theoretical probability of an event. Learn to make an organized list to find all possible outcomes. Learn to list all the outcomes and find the theoretical probability of a compound event. Learn to use probability to predict events.

Today’s Learning Goal Assignment Learn to list all the outcomes and find the theoretical probability of a compound event. Course Compound Events

11-5 Compound Events Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up A café offers a soup-and-sandwich combination lunch. You can choose tomato soup, chicken noodle soup, or clam chowder. You can choose a turkey, ham, veggie, or tuna sandwich. How many lunch combinations are there? 12 Course Compound Events

Problem of the Day Rory dropped a quarter, a nickel, a dime, and a penny. What is the probability that all four landed tails up? 1 16 __ Course Compound Events

Vocabulary compound event Insert Lesson Title Here Course 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 Compound Events

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

Additional Example 1A Continued 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 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 Compound Events

Try This: Example 1A Kiki spins the spinner and rolls a fair number cube. A. Find the probability that the number cube will show an odd number and that the spinner will show an A. Course Compound Events

Try This: Example 1A Continued 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 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. Try This: Example 1A Continued Course Compound Events

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

Try This: Example 1B B. Find the probability that the number cube will show a 6 and that the spinner will show an C. Only one outcome is 6, C. P(6, C)= 18 possible outcomes ____________________ 1 way event can occur = 1 18 ___ Course Compound Events

Additional Example 1C: Finding Probabilities of Compound Events C. In the experiment on page 575, what is the probability that the coin will show tails, the spinner will land on purple, and a green marble will be chosen? There are 18 equally likely outcomes. P(tails, purple, green)= 18 possible outcomes ____________________ 1 way event can occur = 1 18 ___ Course Compound Events

Try This: Example 1C C. In the experiment on page 575 in the student book, what is the probability that the coin will show heads, the spinner will land on orange, and a red marble will be chosen? There are 18 equally likely outcomes. P(heads, orange, red)= 18 possible outcomes ____________________ 1 way event can occur = 1 18 ___ Course 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 __ Course Compound Events