Probability Experiments and Trials

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Spinner and dice probability experiments

🎯 Part 1: Understanding Probability

1. A spinner has 4 equal sections coloured red, blue, green, and yellow. What is the theoretical probability of landing on red?

1/2

1/4

1/3

4/1

2. When rolling a standard six-sided dice, what is the theoretical probability of rolling a 3?

1/3

1/6

3/6

6/1

3. Which statements about probability experiments are true? (Select all that apply)

More trials usually give results closer to theoretical probability

Theoretical probability never changes

Observed frequency is always exactly the same as theoretical probability

Digital tools can help us conduct many trials quickly

4. If you spin a spinner 20 times and land on blue 6 times, what is the observed frequency for blue?

Observed frequency = _____ out of _____ = _____

📊 Part 2: Experiment Planning and Results

5. Design your own spinner experiment. Draw a spinner with 4 equal sections below and colour each section differently:

6. For your spinner above, complete the theoretical probabilities:

Probability of landing on your first colour: _______

Probability of landing on your second colour: _______

Probability of landing on your third colour: _______

Probability of landing on your fourth colour: _______

7. You conducted a dice rolling experiment with these results:

Small trial (20 rolls): Number 1 appeared 2 times, Number 6 appeared 5 times

Large trial (200 rolls): Number 1 appeared 31 times, Number 6 appeared 35 times

a) Which trial gave results closer to the theoretical probability of 1/6? _______________

b) Explain why this happened:

🤔 Part 3: Critical Thinking

8. Sarah spins her spinner 10 times and gets red 8 times. She says "Red is the most likely colour on this spinner." Is Sarah correct? Explain your reasoning:

9. Explain the difference between theoretical probability and observed frequency using an example from a probability experiment:

10. Why might we use digital technology (like computers or tablets) for probability experiments with large numbers of trials?

Probability Experiments and Trials

Probability Experiments and Trials

🎯 Part 1: Understanding Probability

📊 Part 2: Experiment Planning and Results

🤔 Part 3: Critical Thinking

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