6 th Grade Math HOMEWORK Page 590-591 #9 and #14-15 Course 1 11-5 Compound Events.
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Transcript of 6 th Grade Math HOMEWORK Page 590-591 #9 and #14-15 Course 1 11-5 Compound Events.
6th Grade Math HOMEWORK
Page 590-591
#9 and #14-15
Course 1
11-5 Compound Events
Course 1
11-5 Compound EventsStudents 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 1
11-5 Compound Events
11-5 Compound Events
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Warm UpA 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 1
11-5 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?
116__
Course 1
11-5 Compound Events
Vocabulary
compound event
Insert Lesson Title Here
Course 1
11-5 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.
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11-5 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.
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11-5 Compound Events
Additional Example 1A Continued
1 2 3 4 5 6
A 1, A 2, A 3, A 4, A 5, A 6, A
B 1, B 2, B 3, B 4, B 5, B 6, B
C 1, C 2, C 3, C 4, C 5, C 6, 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
11-5 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
11-5 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 1
11-5 Compound Events
Try This: Example 1A Continued
1 2 3 4 5 6
A 1, A 2, A 3, A 4, A 5, A 6, A
B 1, B 2, B 3, B 4, B 5, B 6, B
C 1, C 2, C 3, C 4, C 5, C 6, C
Number Cube
Spinner
First find all of the possible outcomes.
There are 18 possible outcomes, and all are equally likely.
Course 1
11-5 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.
Try This: Example 1A Continued
Course 1
11-5 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___
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11-5 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___
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11-5 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 1
11-5 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___
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11-5 Compound Events
Lesson QuizAn 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
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Course 1
11-5 Compound Events