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Year 10 Probability Worksheet

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Year 10 Probability Worksheet worksheet preview

Year 10 Probability Worksheet

Probability dice and coins illustration

🎲 Part 1: Multiple Choice

1. What is the probability of rolling a 6 on a fair six-sided die?

1/5

1/6

6/1

1/7

2. An event that will definitely happen has a probability of:

0

0.5

1

2

3. A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a blue ball?

3/5

3/10

3/7

7/10

4. Which of the following events are equally likely when flipping a fair coin? (Select all that apply)

Getting heads

Getting tails

Getting heads twice in a row

The coin landing on its edge

📊 Part 2: Problem Solving

5. A spinner has 8 equal sections: 3 red, 2 yellow, 2 blue, and 1 green. Calculate the probability of spinning each colour and express your answers as fractions in their simplest form.

Red: _________ Yellow: _________ Blue: _________ Green: _________

6. In a class of 30 students, 18 have brown eyes, 8 have blue eyes, and 4 have green eyes. If a student is chosen at random, what is the probability they have blue eyes? Express your answer as a percentage.

Answer: _________%

7. A weather forecast states there is a 70% chance of rain tomorrow. What is the probability it will NOT rain? Express your answer as both a percentage and a decimal.
8. Two fair six-sided dice are rolled. What is the probability of getting a total of 7? Show your working.

Probability = _________

🎯 Part 3: Applied Probability

9. A football team has won 12 matches, drawn 6 matches, and lost 2 matches this season. Based on these results, estimate the probability that they will win their next match. Explain whether this is theoretical or experimental probability.
10. Mark the following probabilities on the probability scale below by writing the letter above the correct position:

A: Probability of getting heads when flipping a coin

B: Probability of rolling a number less than 7 on a standard die

C: Probability of drawing a heart from a standard deck of cards

D: Probability that tomorrow is a weekday (assuming today is Wednesday)

0 _____|_____|_____|_____|_____|_____|_____|_____|_____|_____ 1

Impossible                                                      Certain

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