Introduction to Probability and Probability Scale
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Introduction to Probability and Probability Scale — Free MYP2 Mathematics Practice Questions

1QuestionDescribing Events as Likely or UnlikelyConcept Practice
2 marks~3 minCriterion A
A spinner is divided into 4 equal sectors: red, blue, green, and yellow.
a
State the probability of the spinner landing on red. [1]
b
Identify whether landing on red is likely, unlikely, certain, or impossible. Give one reason for your answer. [1]
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2QuestionDescribing Events as Likely or UnlikelyAssessment Practice
4 marks~6 minCriterion C
A fair spinner has two equal sections: red and blue. A student says, "The spinner has a 50%50\% chance of landing on red, so it will land on red exactly 5 times out of 10 spins."
a
Identify one reason why the student's statement is incorrect. [1]
b
Explain why theoretical probability (the mathematically expected result) may not match the actual results in a short series of spins. [3]
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3QuestionDescribing Events as Likely or UnlikelyAssessment Practice
6 marks~9 minCriterion D
A weather app predicts an 80% probability of rain tomorrow. It compared tomorrow's forecast conditions to past weather records and found that rain occurred on 80 out of 100 similar days.
a
State what the fraction 80100\dfrac{80}{100} represents in this context. [1]
b
Explain how the app used those 100 similar days to calculate the 80% probability. Show your working. [2]
c
A school picnic and an outdoor wedding are both planned for tomorrow. Compare how the two groups should respond to the 80% rain probability, and explain why their decisions may differ. [3]
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Solutions

4QuestionProbability Scale from 0 to 1Assessment Practice
4 marks~6 minCriterion B
A spinner has four equal sections: red, blue, green, and yellow. The table below shows how many times green appeared in repeated spins.

Number of spins1050100200
Green appeared4142550
a
Calculate the experimental probability of landing on green for each number of spins. [2]
b
As the number of spins increases, the experimental probability gets closer to the theoretical probability. Use this idea to explain what the theoretical probability of landing on green is, and why. [2]

Solutions

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