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Probability and Likelihood Worksheet

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Probability and Likelihood Worksheet worksheet preview

Probability and Likelihood Worksheet

Dice and probability symbols

🎯 Part 1: Describing Likelihood

1. Match each event to its likelihood by drawing lines between them:
Rolling a 7 on a standard dice
Flipping heads on a fair coin
Drawing a red card from a standard deck
The sun rising tomorrow
Impossible
Even chance
Likely
Certain
2. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. Which colour is most likely to be drawn?

Red

Blue

Green

All equally likely

3. A spinner has 8 equal sections: 4 yellow, 3 red, and 1 blue. Circle all the correct statements:

Yellow is the most likely outcome

Blue is impossible

Red is more likely than blue

There's an even chance of getting yellow

🔢 Part 2: Calculating Probability

4. Calculate the probability of each event. Write your answer as a fraction in its simplest form.

a) Rolling an even number on a standard dice: ____________

b) Drawing a heart from a standard deck of 52 cards: ____________

5. A bag contains 12 sweets: 5 strawberry, 4 lemon, and 3 orange. What is the probability of drawing:

a) A strawberry sweet? ____________

b) A lemon or orange sweet? ____________

c) A chocolate sweet? ____________

6. Mark the probability of rolling a number less than 5 on a standard dice on the probability scale below:

0 __________|__________|__________|__________|__________ 1

Impossible          Unlikely          Even          Likely          Certain

🧠 Part 3: Challenge Questions

7. Extension: A fair coin is flipped twice. What is the probability of getting at least one head? Show your working.
8. Challenge: Design your own probability question involving a spinner with at least 3 different coloured sections. Include the answer.
9. Explain in your own words why the probability of any event is always between 0 and 1 (inclusive).

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