#### Alison Kimbley and Harley Weston

pdf

Subject Area:

Mathematics

Strand:

Statistics and Probability

Six

Content (topic)

Demonstrating Probability

WNCP:

 Outcome SP6.2: Demonstrate understanding of probability by: determining sample space differentiating between experimental and theoretical probability determining the theoretical probability determining the experimental probability comparing experimental and theoretical probabilities. Indicators: List the sample space (possible outcomes) for an event (such as the tossing of a coin, rolling of a die with 10 sides, spinning a spinner with five sections, random selection of a classmate for a special activity, or guessing a hidden quantity) and explain the reasoning. Explore and describe examples of the use and importance of probability in traditional and modern games of First Nations and Métis peoples. Predict the likelihood of a specific outcome occurring in a probability experiment by determining the theoretical probability for the outcome and explain the reasoning. Compare the results of a probability experiment to the expected theoretical probabilities. Explain how theoretical and experimental probabilities are related.

First Toss
Second Toss

### Questions/Discussion:

Have the students describe each item in the sample space in words.

Assume that on each toss of one of the game pieces, each side is equally likely to appear.

Using the fact that

$\large \mbox{Theoretical probability} = \frac{\mbox{Number of favorable outcomes}}{\mbox{Total number of outcomes }}$

calculate the theoretical probability that a play of the game results in a zero score.

Compare the results to the experimental probabilities calculated above.

Why is there more than one experimental probability and only one theoretical probability?

Example:

Round
Name
Name
Name
Name

Alison

1

1

2

0

3

1

4

2

5

0

6

0

7

0

8

1

9

1

10

0

11

0

12

0

13

1

14

15

16

17

18

19

20

Score Sheet:

### Score Sheet

Round
Name
Name
Name
Name

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

Example Score Sheet:

Round
Name
Name
Name
Name

1

1

2

0

3

1

4

2

5

0

6

0

7

0

8

1

9

1

10

0

11

0

12

0

13

1

14

15

16

17

18

19

20

Score Sheet:

Round
Name
Name
Name
Name

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20