Experimental Probability Worksheet

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Dice and probability experiment illustration

🎲 Part 1: Understanding Experimental Probability

1. What is the formula for calculating experimental probability?

Number of trials ÷ Number of times event occurs

Number of times event occurs ÷ Total number of trials

Total number of trials × Number of times event occurs

Number of times event occurs - Total number of trials

2. Sarah flipped a coin 50 times and got 28 heads. What is the experimental probability of getting heads?

3. According to the law of large numbers, what happens to experimental probability as the number of trials increases?

It becomes less accurate

It approaches the theoretical probability

It becomes exactly equal to 1

It becomes more variable

4. A dice was rolled 120 times with the following results:

Face 1: 18 times Face 2: 22 times Face 3: 19 times

Face 4: 21 times Face 5: 20 times Face 6: 20 times

Calculate the experimental probability of rolling a 2: _______________

Calculate the experimental probability of rolling an even number: _______________

📊 Part 2: Analysing Experimental Data

5. A spinner has 4 equal sections (red, blue, green, yellow). After 80 spins, the results were:

Red: 25 times Blue: 18 times Green: 20 times Yellow: 17 times

a) What is the theoretical probability of landing on red? _______________

b) What is the experimental probability of landing on red? _______________

c) Explain why these probabilities might be different:

6. Tom claims that a coin is biased because after 10 flips, he got 8 heads. Is this sufficient evidence to support his claim? Explain your reasoning.

7. Which of the following would give you the most reliable estimate of probability? Tick all that apply.

Rolling a dice 5 times

Flipping a coin 100 times

Drawing cards from a deck 10 times

Spinning a spinner 200 times

🔍 Part 3: Real-World Applications

8. A basketball player has made 156 shots out of 200 attempts this season.

a) What is the experimental probability that she makes her next shot? _______________

b) Express this probability as a percentage: _______________

c) If she takes 50 more shots, approximately how many would you expect her to make?

9. A weather station recorded that it rained on 73 days out of the past 200 days.

Based on this data, what is the experimental probability that it will rain tomorrow?

10. Reflection: In your own words, explain how experimental probability helps us understand chance in real life. Give an example from your daily experience.

Experimental Probability Worksheet

Experimental Probability Worksheet

🎲 Part 1: Understanding Experimental Probability

📊 Part 2: Analysing Experimental Data

🔍 Part 3: Real-World Applications

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