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Statistics and Probability Basics

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Statistics and Probability Basics

Statistics and Probability Basics

Dice and probability symbols

🎲 Part 1: Understanding Probability Vocabulary

1. Match each probability word with its correct meaning:
1. Impossible
2. Unlikely
3. Possible
4. Likely
5. Certain
A. Will definitely happen
B. Cannot happen at all
C. Probably will happen
D. Could happen but might not
E. Probably won't happen
2. Circle the correct probability word for each situation:

Rolling a 7 on a standard dice (1-6):

Impossible

Unlikely

Likely

Certain

The sun rising tomorrow:

Impossible

Unlikely

Likely

Certain

📊 Part 2: Recording Data

3. Complete this tally chart for dice rolls. The results were: 2, 4, 1, 3, 2, 4, 4, 1, 2, 3, 4, 2

Dice Roll Results:

Number 1: ___________

Number 2: ___________

Number 3: ___________

Number 4: ___________

Number 5: ___________

Number 6: ___________

4. Draw a bar graph of the dice roll data from question 3:

🪙 Part 3: Coin Toss Investigation

5. List all possible outcomes when flipping a coin:
6. If you flip a coin 20 times, what do you predict will happen?
7. Check all the statements that are TRUE about flipping a fair coin:

Getting heads is possible

Getting tails is impossible

Getting heads or tails is certain

Getting the same result 5 times in a row is impossible

Each flip has an equal chance of being heads or tails

🎯 Part 4: Critical Thinking About Probability

8. Sarah says: "I rolled a dice 10 times and got mostly 6s, so 6 is the most likely number on any dice." Do you agree? Explain your thinking:
9. Fill in the blanks using probability vocabulary (impossible, unlikely, possible, likely, certain):

a) It is _____________ that it will rain somewhere in New Zealand today.

b) It is _____________ to roll an 8 on a standard dice.

c) It is _____________ that a student in your class has a birthday this year.

d) It is _____________ that you will grow to be 5 metres tall.

10. What would happen if we rolled a dice 100 times instead of 10 times? Explain your prediction:

🎲 Part 5: Extension Challenge

11. Design your own probability experiment. Describe what you would test and predict the results:
12. A spinner has 4 equal sections: red, blue, green, and yellow. If you spin it 12 times, how many times would you expect each colour to come up?

Red: _____ times

Blue: _____ times

Green: _____ times

Yellow: _____ times

Explain your reasoning:

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