Introduction to Probability and Probability Scale

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Introduction to Probability and Probability Scale — Free MYP3 Mathematics Practice Questions

1QuestionDescribing Events as Likely or UnlikelyConcept Practice

2 marks~3 minCriterion A

A spinner is divided into 8 equal sections: 5 red, 2 blue, and 1 green.

Calculate the probability of landing on red. [1]

Explain whether landing on red is likely or unlikely. [1]

Solutions

2QuestionProbability Scale from 0 to 1Assessment Practice

5 marks~8 minCriterion C

A spinner has 8 equal sections: 3 red, 2 blue, 2 green, and 1 yellow. A student says: "The probability of landing on red is

\dfrac{3}{8}

, so it is likely but not certain."

Calculate the probability of landing on red as a fraction. [1]

Describe where

P(\text{red})

sits on the probability scale from 0 to 1, using the terms unlikely, even chance, or likely. [2]

Explain whether the student's statement is correct, identifying the misconception in their reasoning. [2]

Solutions

3QuestionProbability Scale from 0 to 1Concept Practice

2 marks~3 minCriterion B

A spinner has equally likely outcomes. The table below shows the probability of landing on one specific colour.

Number of outcomes	2	3	4	5
Probability	$\dfrac{1}{2}$	$\dfrac{1}{3}$	$\dfrac{1}{4}$	$\dfrac{1}{5}$

Calculate the probability of landing on one specific colour for a spinner with 6 equally likely outcomes. [1]

Explain the general rule that connects the number of equally likely outcomes to the probability of landing on any one specific colour. [1]

Solutions

4QuestionDescribing Events as Likely or UnlikelyAssessment Practice

6 marks~9 minCriterion D

A weather forecaster says: "There is a 70% chance of rain tomorrow."

Write

70\%

as a decimal. Then place the event "rain tomorrow" on a probability scale from 0 to 1, using one of the terms: impossible, unlikely, equally likely, likely, or certain. [2]

Explain one advantage and one limitation of using a single percentage to communicate the chance of rain to the public. [2]

A school is deciding whether to hold its sports day outdoors tomorrow. Analyse how the 70% forecast might affect their decision, and whether the percentage alone gives them enough information to plan. [2]

Solutions

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