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

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11-5

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Compound Events

11-5

Course 1

Warm Up

Problem of the Day

Lesson Presentation

Compound Events

11-5

Course 1

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

Compound Events

11-5

1

__

16

Course 1

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?

Compound Events

11-5

Course 1

Learn to list all the outcomes and find the theoretical probability of a compound event.

Compound Events

11-5

Course 1

Insert Lesson Title Here

Vocabulary

compound event

Compound Events

11-5

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.

Compound Events

11-5

Course 1

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.

Compound Events

11-5

Course 1

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.

Compound Events

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3 ways events can occur

P(even, B)=

1

3

__

___

=

=

6

18

____________________

18 possible outcomes

Course 1

Compound Events

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1 way event can occur

P(4, A)=

1

___

=

18

____________________

18 possible outcomes

Course 1

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.

Compound Events

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1

___

=

18

1 way event can occur

____________________

P(tails, purple, green)=

18 possible outcomes

Course 1

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.

Compound Events

11-5

Course 1

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.

Compound Events

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Course 1

Try This: Example 1A Continued

First find all of the possible outcomes.

Number Cube

Spinner

There are 18 possible outcomes, and all are equally likely.

Compound Events

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3 ways events can occur

P(odd, A)=

1

3

__

___

=

=

6

18

____________________

18 possible outcomes

Course 1

Try This: Example 1A Continued

Three of the outcomes have an odd number and BA: 1, A; 3, A; and 5, A.

Compound Events

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1 way event can occur

P(6, C)=

1

___

=

18

____________________

18 possible outcomes

Course 1

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.

Compound Events

11-5

1

___

=

18

1 way event can occur

____________________

18 possible outcomes

Course 1

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 .

Compound Events

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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?