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Introduction to Probability. 11-1. Course 1. Warm Up. Problem of the Day. Lesson Presentation. Introduction to Probability. 11-1. __. 0.2; 22.2%. 3. 1. 3. 2. __. __. __. __. 8. 4. 2. 9. Course 1. Warm Up Write each fraction as a decimal and as a percent. 1. 2. 3. 4.

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Presentation Transcript

Introduction to Probability

11-1

Course 1

Warm Up

Problem of the Day

Lesson Presentation

Introduction to Probability

11-1

__

0.2; 22.2%

3

1

3

2

__

__

__

__

8

4

2

9

Course 1

Warm Up

Write each fraction as a decimal and as a percent.

1.

2.

3.

4.

0.75; 75%

0.50; 50%

0.375; 37.5%

Introduction to Probability

11-1

or

34

17

___

__

100

50

Course 1

Problem of the Day

What fraction of the numbers from 0 to 99 are divisible by 3?.

Introduction to Probability

11-1

Course 1

Learn to estimate the likelihood of an event and to write and compare probabilities.

Introduction to Probability

11-1

Course 1

Insert Lesson Title Here

Vocabulary

probability

Introduction to Probability

11-1

Course 1

Probability is the measure of how likely an event is to occur.

Introduction to Probability

11-1

Course 1

• Probabilities are written as fractions or decimals from 0 to 1 or as percents from 0% to 100%. The higher an event’s probability, the more likely that event is to happen.
• Events with a probability of 0, or 0%, never happen.
• Events with a probability of 1, or 100%, always happen.
• Events with a probability of 0.5, or 50%, have the same chance of happening as of not happening.

Introduction to Probability

11-1

0 0.5 1

0% 100%

50%

1

__

2

Course 1

Impossible Unlikely As likely as not Likely Certain

Introduction to Probability

11-1

A standard number cube is numbered from 1 to 6.

Course 1

Insert Lesson Title Here

Additional Example 1A & 1B: Estimating the Likelihood of an Event

Write impossible, unlikely, as likely as not, likely, or certain to describe each event.

A. You will roll an even number on a standard number cube.

B. The month of February has 28 days.

as likely as not

certain

Introduction to Probability

11-1

Course 1

Insert Lesson Title Here

Additional Example 1C & 1D: Estimating the Likelihood of an Event

Write impossible, unlikely, as likely as not, likely, or certain to describe each event.

C. This spinner lands on blue.

D. This spinner lands on an odd number.

unlikely

impossible

Introduction to Probability

11-1

A standard number cube is numbered from 1 to 6.

Course 1

Insert Lesson Title Here

Try This: Example 1A & 1B

Write impossible, unlikely, as likely as not, likely, or certain to describe each event.

A. You guess a number between 1 and 1000.

B. You will roll an odd number on a standard number cube.

unlikely

as likely as not

Introduction to Probability

11-1

Course 1

Insert Lesson Title Here

Try This: Example 1C & 1D

Write impossible, unlikely, as likely as not, likely, or certain to describe each event.

C. This spinner lands on green.

D. This spinner lands on an even number.

unlikely

certain

Introduction to Probability

11-1

75% = =

8

3

75

4

__

___

__

__

10

100

4

5

0.8 = =

Write as a fraction in simplest form.

Write as a percent.

Write as a fraction in simplest form.

Write as a decimal.

Course 1

Insert Lesson Title Here

Additional Example 2A & 2B: Writing Probabilities

A. The weather report gives a 75% chance of snow. Write this probability as a decimal and as a fraction.

75% = 0.75

B. The chance of being chosen is 0.8. Write this probability as a fraction and as a percent.

0.8 = 80%

Introduction to Probability

11-1

= 7 ÷ 50 = 0.14

= = = 14%

In Example 2C, after you find the decimal form

of , you can use it to find the percent.

0.14 = 14%.

7

7

7

14

7 • 2

7

__

__

_____

__

___

__

50

50

100

50

50

50 • 2

Write as a percent.

Write as a decimal.

Course 1

Insert Lesson Title Here

C. There is a chance of getting a ring. Write

this probability as a decimal and as a percent.

Introduction to Probability

11-1

25% = =

6

1

25

3

__

___

__

__

10

100

4

5

0.6 = =

Write as a fraction in simplest form.

Write as a percent.

Write as a fraction in simplest form.

Write as a decimal.

Course 1

Insert Lesson Title Here

Try This: Example 2A & 2B

A. The weather report gives a 25% chance of snow. Write this probability as a decimal and as a fraction.

25% = 0.25

B. The chance of being chosen is 0.6. Write this probability as a fraction and as a percent.

0.6 = 60%

Introduction to Probability

11-1

= 4 ÷ 25 = 0.16

= = = 16%

4

4

16

4 • 4

4

_____

__

__

__

___

100

25

25 • 4

25

25

Write as a decimal.

Write as a percent.

Course 1

Insert Lesson Title Here

Try This: Example 2C

C. There is a chance of getting a ring. Write

this probability as a decimal and as a percent.

Introduction to Probability

11-1

Compare: 33 % < 50%

1

1

__

__

3

3

Course 1

Insert Lesson Title Here

A. On a standard number cube, there is a 50%

chance of rolling a multiple of 2 and a 33 %

chance of rolling a multiple of 3. Is it more likely to roll a multiple of 2 or a multiple of 3?

It is more likely to roll a multiple of 2.

Introduction to Probability

11-1

Course 1

Insert Lesson Title Here

B. When you spin a certain spinner, there is a 15% chance that it will land on yellow, a 15% chance it will land on green, and a 70% chance that it will land on purple. Is it more likely to land on purple or on green?

Compare: 70% > 15%

It is more likely to land on purple than on green.

Introduction to Probability

11-1

Course 1

Insert Lesson Title Here

Try This: Example 3A

A. When you spin a certain spinner, there is a 25% chance that it will land on purple, a 35% chance it will land on green, and a 40% chance that it will land on red. Is it more likely to land on red or on green?

Compare: 40% > 35%

It is more likely to land on red than on green.

Introduction to Probability

11-1

2

__

3

Compare: 9% < 35 %

1

1

__

__

3

3

Course 1

Insert Lesson Title Here

Try This: Example 3B

B. When you spin a certain spinner, there is a

9% chance that it will land on yellow, a 35 %

chance it will land on brown, and a 55 %

chance that it will land on blue. Is it more likely to land on brown or on yellow?

It is more likely to land on brown than on yellow.

Introduction to Probability

11-1

1

__

8

, 12.5%

Course 1

Insert Lesson Title Here

Lesson Quiz

Write impossible, unlikely, equally likely, likely, or certain to describe each event.

1. The sun will rise tomorrow.

2. You will roll 13 when rolling two dice.

3. There is a 0.125 chance of picking the winning ticket. Write this probability as a fraction and as a percent.

4. At Hamburger Hut, there is a 20% chance of getting a plastic dinosaur cup and a 35% chance of getting a plastic rabbit cup. It is less likely that you will receive a rabbit cup or dinosaur cup?

certain

impossible

dinosaur cup