This document illustrates the difference between experimental probability and theoretical probability through examples. In the first example, a die was rolled 16 times and the results were recorded to determine the experimental probability of rolling a 5. In the second example, two coins were flipped 20 times and the results recorded to find the experimental probability of getting two heads. Theoretical probabilities were also calculated to compare with the experimental results. The lesson concludes by reinforcing the key concepts and asking students to reflect on their understanding.

1. Illustrates
Experimental
and Theoretical Probability
Consolidation Camp

2. Key Idea
2
Demonstrates the
difference between the
experimental and
theoretical probability.

3. Component 1: Short Review
Time: 7 mins
Jhon rolled a 6-sided die 16 times and recorded the
outcomes shown.
DIE OUTCOME EXPERIMENTAL
RESULTS
1 I
2 IIII
3 I
4 III
5 IIIII
6 I

4. QUESTIONS:
DIE OUTCOME EXPERIMENTA
L RESULTS
1 I
2 IIII
3 I
4 III
5 IIIII
6 I
1. What is the probability of rolling a
5?
Answer: 5/16
2. Is this what you expected?
3. Does the table provide information about
experimental or theoretical probability?
Justify.

5. Component 2: Lesson Plan Purpose/
Intention
Time: 3 mins
In this section, we compare experimental probability
and theoretical probability
Experimental probability is the probability of an event
occurring based on experimental results.

6. Component 3: Lesson Language
Practice
Time: 5 mins
Read the following:
Theoretical- the number of favorable outcomes
divided by the total number of possible outcomes.
Experimental- describes how frequently an event
actually occurred in an experiment

7. Component 3: Lesson Language
Practice
Time: 5 mins
• What is the difference between theoretical and
experimental?
• Practice saying the words in sentence.

8. Component 4: Lesson Activity
Time: 25 mins
Component 4A
COIN OUTCOME EXPERIMENTAL
RESULTS
H,H IIII
H,T IIIII
T,H IIIIII
T,T IIIII
Jessie flips two coins 20 times to determine the
experimental probability of landing on heads versus
tails. Here are the results.

9. Component 4: Lesson Activity
Time: 25 mins
Component 4B
COIN
OUTCOME
EXPERIMEN
TAL
RESULTS
H,H IIII
H,T IIIII
T,H IIIIII
T,T IIIII
1. What is the experimental probability of both coin
landing on heads? Answer: 2/5
2. Draw a tree diagram to determine
the possible theoretical outcomes.

10. Component 4: Lesson Activity
Time: 25 mins
Component 4B
COIN
OUTCOME
EXPERIMEN
TAL
RESULTS
H,H IIII
H,T IIIII
T,H IIIIII
T,T IIIII
3. Calculate the theoretical probability of both coins
landing on heads? Answer: 1/4
4. Compare the results from theoretical
probability and experimental probability.
5. What can Jessie do to decrease the
difference between the theoretical
probability and experimental
probability?

11. Component 4: Lesson Activity
Time: 25 mins
Component 4C
Jessie decides to complete another experiment. She
decides to roll a 6-sided die and toss a coin.
Answer: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
1. What are all possible theoretical outcomes?
2. What is the probability of rolling a 6 and getting a
head together? Answer: 1/12

12. Component 4: Lesson Activity
Time: 25 mins
Component 4C
Answer: 24
3. What many possible theoretical outcomes would
there be if Jessie rolled a 6-sided die and tossed 2
coins at the same time?
4. What is the probability of rolling a 3 and tossing a
head and a tail in any order? Answer: 1/12

13. Component 5: Lesson Conclusion
Time: 5 mins
• What do you think were the key mathematical
concepts addressed in this lesson?
• Would you rate your level of understanding of the
material covered in this lesson as high, moderate, or
low?
• Has the lesson helped you to gain further insight into
aspects of the material covered that represent
strengths or represent weaknesses?

14. Component 5: Lesson Conclusion
Time: 5 mins
• What would you describe as the main barriers, if any,
to your ongoing progress and achievement in
relation to the topic area addressed in this lesson?
• What do you think would best assist your ongoing
progress and achievement in relation to the topic
area?