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Developing A Probability Model

Developing A Probability Model

Assessment

Presentation

•

Mathematics

•

6th - 7th Grade

•

Medium

Created by

Jonesa Montgomery

Used 4+ times

FREE Resource

5 Slides • 26 Questions

1

Developing A Probability Model
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2

First Let's Review​!!!
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3

Multiple Choice

Probabilities are always between...

1

0 & 1 or 0% & 100%

2

0 & 100 or 0% & 1%

3

1 & 100

4

2 & 1

4

Multiple Choice

Theoretical Probability is?
1
What Should happen
2
What does happen
3
What Will Happen
4
What I want to Happen

5

Multiple Choice

Experimental Probability is:
1
What Will happen 
2
What actually happens
3
What should happen
4
What I think Happens

6

Multiple Choice

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
1
3
2
1/10
3
3/10
4
30%

7

Multiple Choice

Possible results of an event
1
outcomes
2
compound event
3
simple event
4
probability

8

Multiple Choice

What is an event that will happen or has a probability of 1?

1

theoretical

2

probability

3

mutually exclusive

4

certain

9

Developing a Probability Model​
  • A Sample Space is the set of all possible outcomes.

  • ​A probability model can help you evaluate a chance process and its outcomes. You can develop a model using experimental probability or theoretical probability

  • ​A Probability Model has a:

    Sample Space

    List of Events

  • The Probability of each Event

​

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10

Multiple Choice

A set of all possible outcomes of events.

1
Independent Events
2
Outcome 
3
Probability
4
Sample Space

11

Fill in the Blanks

When a marble is drawn, there are _ possible outcomes.

Type answer...

12

A model for the jar of marbles above would look something like this:​
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13

Multiple Choice

Sample Space, S =

1

{R, R, R, R G, P, P, P, P, P}

2

{G, G, G, G, G, G, P, P, P, R}

3

{R, R, R, R, R, G, P, P, P, P}

4

{R, G, G, G, P, P, P, P, P, P}

14

Multiple Choice

P(Red)

1

310\frac{3}{10}  , .3, 30%

2

110\frac{1}{10}  , .1, 10%

3

610\frac{6}{10}  , .6, 60%

15

Multiple Choice

P(Green)

1

310\frac{3}{10}  , .3, 30%

2

110\frac{1}{10}  , .1, 10%

3

610\frac{6}{10}  , .6, 60%

16

Multiple Choice

P(Purple)

1

310\frac{3}{10}  , .3, 30%

2

110\frac{1}{10}  , .1, 10%

3

610\frac{6}{10}  , .6, 60%

17

Fill in the Blanks

Develop a model based on theoretical probability for rolling a

number cube labeled from 1 through 6

Sample Space:

Type answer...

18

Multiple Choice

P(1)?

1

1/6

2

1/4

3

1/5

4

1/7

19

Multiple Choice

P(2)?

1

1/6

2

1/4

3

1/5

4

1/7

20

Multiple Choice

P(3)?

1

1/6

2

1/4

3

1/5

4

1/7

21

Multiple Choice

P(4)?

1

1/6

2

1/4

3

1/5

4

1/7

22

Multiple Choice

P(5)?

1

1/6

2

1/4

3

1/5

4

1/7

23

Multiple Choice

P(6)?

1

1/6

2

1/4

3

1/5

4

1/7

24

Fill in the Blanks

Ms. Stillman has a marble jar but the number of marbles or their colors is not known. Each of 30 students draws a marble, notes its color, and then puts it back in the jar. Based on the results in the table develop a model based on experimental probability

Sample space:

Type answer...

25

Multiple Choice

P(red)

1

430\frac{4}{30}  

2

1130\frac{11}{30}  

3

1530\frac{15}{30}  

26

Multiple Choice

P(blue)

1

430\frac{4}{30}  

2

1130\frac{11}{30}  

3

1530\frac{15}{30}  

27

Multiple Choice

P(green)

1

430\frac{4}{30}  

2

1130\frac{11}{30}  

3

1530\frac{15}{30}  

28

Multiple Choice

Question image
Which shows the sample space for flipping two coins? 
H = heads, T = tails
1
H, T
2
HH, HT, TH, TT
3
HH, TT
4
HH, TT, TT, HH

29

Multiple Choice

Question image
1
Answer Choice A
2
Answer Choice B
3
Answer Choice C
4
Answer Choice D

30

Poll

How do you feel?

Great!

Okay

I still have some learning to do

31

TIME FOR INDEPENDENT PRACTICE!!!​
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Developing A Probability Model
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