11-5 Compound Events

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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

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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?

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11-5 Compound Events

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

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11-5 Compound Events

Vocabulary

compound event

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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.

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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.

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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

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___

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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.

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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.

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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

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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

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?

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11-5 Compound Events