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Data and Probability Investigation

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Data and Probability Investigation worksheet preview

Data and Probability Investigation

Dice and data charts illustration

🎲 Part 1: Understanding Probability

1. When you roll a standard dice, what are ALL the possible outcomes?
2. Circle the probability word that best describes each event:

a) Rolling a 7 on a standard dice:

Impossible

Unlikely

Likely

Certain

b) Rolling a number between 1 and 6:

Impossible

Unlikely

Likely

Certain

3. If you roll a dice 30 times, what is the theoretical probability of rolling a 4?

As a fraction: _____ / _____

Explain your thinking: ________________________________

📊 Part 2: Data Collection and Analysis

4. Complete this tally chart with your partner's dice rolling results:

Dice Roll Results (30 rolls)

Number 1: ________________

Number 2: ________________

Number 3: ________________

Number 4: ________________

Number 5: ________________

Number 6: ________________

5. Create a pictograph of your results in the space below. Use ⚫ to represent each roll.
6. Analyse your data:

a) Which number was rolled most often? ____________

b) Which number was rolled least often? ____________

c) Was your dice fair? Explain using evidence from your data:

🤔 Part 3: Critical Thinking

7. Read this statement: "After rolling a dice 30 times, if the number 6 came up 8 times, then 6 is the most likely outcome for future rolls."

Do you agree or disagree? _______________

Explain your reasoning with evidence:

8. Extension Challenge: Express the probability of rolling an even number (2, 4, or 6) in three different ways:

As a fraction: _____ / _____

As a decimal: _____________

As a percentage: _________%

9. Reflection: How can understanding probability help us make better decisions in real life?

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