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Probability with Fractions

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Probability with Fractions

Probability with Fractions

Coloured marbles and probability symbols

🎯 Part 1: Understanding Probability

1. What is the formula for calculating probability?

Probability = _________________ ÷ _________________

2. Circle the correct answer: What does "favourable outcomes" mean?

All possible outcomes that could happen

The outcomes we want to happen

The outcomes that never happen

3. If you roll a standard die, what is the probability of rolling a 4?

🔴🔵🟢 Part 2: Marble Experiment Setup

4. Our bag contains: 3 red marbles, 2 blue marbles, and 5 green marbles.

Calculate the theoretical probability for each colour:

Total number of marbles = ______

Probability of drawing red = _____ ÷ _____ = _____

Probability of drawing blue = _____ ÷ _____ = _____

Probability of drawing green = _____ ÷ _____ = _____

5. Which colour has the highest probability of being drawn? Circle your answer:

Red

Blue

Green

📊 Part 3: Recording Experimental Results

6. Record your marble draws in the tally chart below:

Tally Chart:

Red marbles: _________________ Total: _____

Blue marbles: _________________ Total: _____

Green marbles: _________________ Total: _____

Total draws: _____

7. Calculate your experimental probabilities:

Experimental probability of red = _____ ÷ _____ = _____

Experimental probability of blue = _____ ÷ _____ = _____

Experimental probability of green = _____ ÷ _____ = _____

🤔 Part 4: Comparing Results

8. Compare your experimental results with the theoretical probabilities:

Red marbles:

Theoretical: _____ Experimental: _____ Difference: _____

Blue marbles:

Theoretical: _____ Experimental: _____ Difference: _____

Green marbles:

Theoretical: _____ Experimental: _____ Difference: _____

9. Why might your experimental results be different from the theoretical probabilities?

💭 Part 5: Critical Thinking

10. Evaluate these statements. Tick if you agree or disagree:

Statement A: "The probability of drawing a green marble is the highest because there are more green marbles in the bag."

Agree

Disagree

Statement B: "If I draw more marbles, my experimental probabilities will get closer to the theoretical values."

Agree

Disagree

11. Explain your reasoning for Statement A:
12. Explain your reasoning for Statement B:

🎲 Part 6: Extension Activity

13. Create your own probability scenario. Draw a bag with different coloured objects and calculate the theoretical probability:

My bag contains: _____ red, _____ blue, _____ yellow objects

Total objects: _____

Probability of red = _____

Probability of blue = _____

Probability of yellow = _____

14. What did you learn about probability and fractions today?

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