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Probability — Free MYP1 Mathematics Practice Questions
1QuestionProbability of a Single Event OccurringConcept Practice
2 marks~3 minCriterion D
A weather forecaster says there is a 30% chance of rain tomorrow.
a
Describe what this probability means for someone planning a picnic. [1]
b
Identify one reason why past weather data may not give an accurate prediction. [1]
Solutions
2QuestionCalculating Combined Probabilities BasicConcept Practice
2 marks~3 minCriterion C
A spinner has three equal sections: red, blue, and green. A second spinner has four equal sections: yellow, orange, purple, and pink.
a
State the probability notation for spinning red on the first spinner and yellow on the second spinner. [1]
b
Describe what each part of your notation means. [1]
Solutions
3QuestionCalculating Combined Probabilities BasicConcept Practice
2 marks~3 minCriterion A
The tree diagram shows the probabilities for spinning a spinner and then flipping a coin.
First spin: ,
From A: ,
From B: ,
Calculate the probability of spinning A and then flipping heads. Give your answer as a decimal. [2]
First spin: ,
From A: ,
From B: ,
Calculate the probability of spinning A and then flipping heads. Give your answer as a decimal. [2]
Solutions
4QuestionSolving Real-Life Problems with Combined EventsConcept Practice
2 marks~3 minCriterion B
A spinner has three equal sections: Red, Blue, and Green. A coin has two sides: Heads and Tails. The tree diagram shows all possible outcomes when the spinner is spun once and the coin is flipped once.
a
List all six combined outcomes shown in the tree diagram. [1]
b
Explain how the total number of combined outcomes can be found using the number of spinner sections and coin sides. [1]
Solutions
5QuestionUsing Multiple Dice or CoinsConcept Practice
2 marks~3 minCriterion B
You roll two six-sided dice and add the two numbers together.
a
List the number of ways to make each sum by completing the table below. [1]
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
Sum: , Number of ways: \_\_\_
b
Identify the sum that can be made in the most ways and the sum that can be made in the fewest ways. [1]
Solutions
6QuestionProbability of Rolling a DieConcept Practice
4 marks~6 minCriterion A
A standard six-sided die is shown in the diagram.
a
Name the number of faces on a standard die. [1]
b
List all the numbers that appear on a standard die. [1]
c
Describe how a standard die is different from a coin when you use each one to get a random result. [2]
Solutions
7QuestionCalculating Basic Probabilities Using Tree DiagramsConcept Practice
4 marks~6 minCriterion A
A bag contains 3 red marbles and 2 blue marbles. You pick one marble, note its colour, put it back, then pick again.
a
State the probability of picking a red marble and the probability of picking a blue marble. [1]
b
Label the tree diagram below to show all possible outcomes and their probabilities for both picks. [2]
c
Calculate the probability of picking a red marble first and a blue marble second. [1]
Solutions
8QuestionCalculating Basic Probabilities Using Tree DiagramsConcept Practice
2 marks~3 minCriterion A
The tree diagram shows all the outcomes when a fair coin is flipped twice. One outcome is missing.
First flip: Heads → Second flip: Heads → Outcome:
First flip: Heads → Second flip: Tails → Outcome:
First flip: Tails → Second flip: Heads → Outcome:
First flip: Tails → Second flip: Tails → Outcome:
First flip: Heads → Second flip: Heads → Outcome:
First flip: Heads → Second flip: Tails → Outcome:
First flip: Tails → Second flip: Heads → Outcome:
First flip: Tails → Second flip: Tails → Outcome:
a
Identify the pattern used to write each outcome. [1]
b
State the missing outcome. [1]
Solutions
9QuestionCalculating Basic Probabilities Using Tree DiagramsConcept Practice
3 marks~5 minCriterion B
A fair coin is flipped twice. The tree diagram shows four outcomes: HH, HT, TH, and TT. Each outcome has a probability of .
a
Calculate the sum of the four probabilities. [1]
b
Describe what this sum tells you about the four outcomes. [1]
c
Describe how this rule about probabilities summing to applies to any probability situation, not just coin flipping. [1]
Solutions
10QuestionDescribing Events as Likely or UnlikelyConcept Practice
2 marks~3 minCriterion B
A spinner has 6 equal sections: 3 red, 2 blue, and 1 green. It was spun 20 times.
| Colour | Red | Blue | Green |
|---|---|---|---|
| Frequency | 11 | 6 | 3 |
a
Identify which colour landed most often. [1]
b
Describe the pattern between the number of sections for each colour and how often it landed. [1]
Solutions
11QuestionDescribing Events as Likely or UnlikelyConcept Practice
5 marks~8 minCriterion C
A bag contains 3 red, 2 blue, and 5 green marbles. One marble is picked without looking.
a
State the total number of marbles in the bag. [1]
b
Calculate the probability of picking a blue marble. [2]
c
A student says: "It is unlikely to pick a blue marble because there are only 2 blue marbles." Describe whether the student's claim is correct, and explain what the student should have considered. [2]
Solutions
12QuestionDescribing Events as Likely or UnlikelyConcept Practice
2 marks~3 minCriterion D
A weather app shows: "There is a chance of rain tomorrow."
a
State whether rain is likely or unlikely based on this forecast. [1]
b
Describe one reason why this forecast may not help you decide whether to go on a picnic. [1]
Solutions
13QuestionDescribing Events as Likely or UnlikelyConcept Practice
2 marks~3 minCriterion A
A spinner is divided into 4 equal sections: red, blue, yellow, and green.
a
Identify one colour that is not on the spinner. [1]
b
State whether landing on that colour is likely, unlikely, or impossible. Give one reason for your answer. [1]
Solutions
14QuestionProbability of Flipping a CoinAssessment Practice
4 marks~6 minCriterion C
A student says that getting Heads when tossing a fair coin is a 'likely' event. Use the probability scale below to answer the questions.
a
State the probability of getting Heads when tossing a fair coin. [1]
b
Identify the word on the probability scale that correctly describes getting Heads. [1]
c
Describe how 'Even Chance' and 'Likely' are different on the probability scale, and give one example of a 'likely' event. [2]
Solutions
15QuestionUsing Multiple Dice or CoinsAssessment Practice
2 marks~3 minCriterion D
A board game designer rolls two six-sided dice to decide how players move.
a
Describe how listing all 36 possible outcomes helps the designer check whether the game is fair. [1]
b
Describe one reason why using two dice gives the designer a better chance of making the game fair than using one die. [1]
Solutions
16QuestionInterpreting Simple Venn DiagramsAssessment Practice
6 marks~9 minCriterion D
A class survey asked 20 students: "Do you have a dog?" and "Do you have a cat?" The Venn diagram shows the results.
- Only a dog: 8
- Only a cat: 5
- Both a dog and a cat: 4
- Neither: 3
- Only a dog: 8
- Only a cat: 5
- Both a dog and a cat: 4
- Neither: 3
a
State the total number of students who have a dog. [1]
b
Identify which group is the largest — only a dog, only a cat, or both — and describe what this tells us about pet ownership in this class. [2]
c
A student says: "This survey proves that most students in our school own a dog." Give two reasons why this conclusion is not reliable. [3]
Solutions