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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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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%
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?.
11-1
Course 1
Learn to estimate the likelihood of an event and to write and compare probabilities.
11-1
Course 1
Probability is the measure of how likely an event is to occur.
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.
11-1
0 0.5 1
0% 100%
50%
1
__
2
Course 1
Impossible Unlikely As likely as not Likely Certain
11-1
Helpful Hint
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
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
11-1
Helpful Hint
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
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
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%
11-1
= 7 ÷ 50 = 0.14
= = = 14%
Helpful Hint
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
Additional Example 2C: Writing Probabilities
C. There is a chance of getting a ring. Write
this probability as a decimal and as a percent.
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%
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.
11-1
Compare: 33 % < 50%
1
1
__
__
3
3
Course 1
Insert Lesson Title Here
Additional Example 3A: Comparing Probabilities
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.
11-1
Course 1
Insert Lesson Title Here
Additional Example 3B: Comparing Probabilities
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.
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.
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.
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
