🎯 Part 1: Probability Vocabulary

1. Match each term with its correct definition by writing the letter in the circle:

Theoretical probability

Experimental probability

Trial

Outcome

Event

Law of large numbers

A. The probability calculated using maths (what should happen)

B. One single performance of an experiment

C. The probability found by doing an experiment (what actually happens)

D. As the number of trials increases, experimental probability gets closer to theoretical probability

E. A specific result that could happen

F. A collection of one or more outcomes

2. Explain the difference between theoretical and experimental probability in your own words:

🎲 Part 2: Dice Rolling Experiment

3. Before starting, what is the theoretical probability of rolling a 3 on a fair dice?

Theoretical probability = _________

4. Prediction: In 30 rolls, how many times do you expect to roll a 3? __________

5. Record your results for 30 dice rolls in the table below. Make a tally mark for each outcome:

Outcome	Tally	Frequency
1
2
3
4
5
6
Total		30

6. Calculate your experimental probability of rolling a 3:

Experimental probability = Number of times 3 appeared ÷ Total number of trials

Experimental probability = _______ ÷ 30 = _______

📊 Part 3: Analysis and Reflection

7. Compare your results with the theoretical probability:

Theoretical probability of rolling a 3: _______

Your experimental probability of rolling a 3: _______

Difference: _______

8. Why might your experimental probability be different from the theoretical probability? Give at least two reasons:

9. What do you think would happen to your experimental probability if you rolled the dice 300 times instead of 30? Explain your reasoning:

10. Look at another group's results. How do their experimental probabilities compare to yours? What does this tell you about probability experiments?

11. Reflection: How does the law of large numbers help explain what happens when we increase the number of trials in a probability experiment?

Probability Exploration Worksheet

Probability Exploration Worksheet

🎯 Part 1: Probability Vocabulary

🎲 Part 2: Dice Rolling Experiment

📊 Part 3: Analysis and Reflection

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

More Maths Worksheets

Year 8 Maths Challenge

Year One English & Maths

Coding and Maths Exploration

ALIM Maths Acceleration Agenda

Everyday Money Maths

Year 4 Maths Placement Test

Migration Maths Journey

Functional Skills Maths Revision

Explore more free resources