Last updated on Sep 20, 2026

Conditional Probability (AQA GCSE Maths): Quizzes

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Conditional probability

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What does the notation $P(A|B)$ represent?

Probability of A given B has occurred

Which phrase is a major clue that events are dependent on each other?

Without replacement

For independent events A and B, what is true about $P(A|B)$ ?

$P(A|B) = P(A)$

What is the AND rule for conditional probability?

$P(A \text{ and } B) = P(A) \times P(B|A)$

If $P(\text{reads}) = 0.7$ and $P(\text{isn't tired}|\text{reads}) = 0.8$ , find $P(\text{reads and isn't tired})$ .

$0.56$

In tree diagrams, how do you find the probability of a specific combination of events?

Multiply along branches

A box has 5 red and 3 green discs. One red is taken. What is $P(\text{red on 2nd pick})$ ?

$\frac{4}{7}$

With 5 red and 3 green discs, what is $P(\text{both red})$ without replacement?

$\frac{20}{56}$

When should you add probabilities in tree diagrams?

When multiple ways give same outcome

What is the first step when solving conditional probability problems?

Identify if events are dependent

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Conditional Probability (AQA GCSE Maths): Quizzes

Practise the questions

What does the notation P(A∣B)P(A|B)P(A∣B) represent?

Which phrase is a major clue that events are dependent on each other?

For independent events A and B, what is true about P(A∣B)P(A|B)P(A∣B)?

What is the AND rule for conditional probability?

If P(reads)=0.7P(\text{reads}) = 0.7P(reads)=0.7 and P(isn’t tired∣reads)=0.8P(\text{isn't tired}|\text{reads}) = 0.8P(isn’t tired∣reads)=0.8, find P(reads and isn’t tired)P(\text{reads and isn't tired})P(reads and isn’t tired).

In tree diagrams, how do you find the probability of a specific combination of events?

A box has 5 red and 3 green discs. One red is taken. What is P(red on 2nd pick)P(\text{red on 2nd pick})P(red on 2nd pick)?

With 5 red and 3 green discs, what is P(both red)P(\text{both red})P(both red) without replacement?

When should you add probabilities in tree diagrams?

What is the first step when solving conditional probability problems?

Explore AQA GCSE Maths Revision Notes by Topics

Probability Basics

Counting Outcomes

Probability Experiments

The AND / OR Rules

Tree Diagrams

Conditional Probability

Sets and Venn Diagrams

Sampling and Data Collection

Mean, Median, Mode and Range

Frequency Tables — Finding Averages

Grouped Frequency Tables

Box Plots

Cumulative Frequency

Histograms and Frequency Density

Scatter Graphs

Other Graphs and Charts

Mean, Median, Mode and Range

Frequency Tables — Finding Averages

Grouped Frequency Tables

Box Plots

Cumulative Frequency

Histograms and Frequency Density

Scatter Graphs

Other Graphs and Charts

Comparing Data Sets

Explore AQA GCSE Maths Model Answers by Topics

Probability Basics

Counting Outcomes

Probability Experiments

The AND / OR Rules

Tree Diagrams

Conditional Probability

Sets and Venn Diagrams

Sampling and Data Collection

Mean, Median, Mode and Range

Frequency Tables — Finding Averages

Grouped Frequency Tables

Box Plots

Cumulative Frequency

Histograms and Frequency Density

Scatter Graphs

Other Graphs and Charts

Mean, Median, Mode and Range

Frequency Tables — Finding Averages

Grouped Frequency Tables

Box Plots

Cumulative Frequency

Histograms and Frequency Density

Scatter Graphs

Other Graphs and Charts

Comparing Data Sets

Explore AQA GCSE Maths Flashcards by Topics

Probability Basics

Counting Outcomes

Probability Experiments

The AND / OR Rules

Tree Diagrams

Conditional Probability

Sets and Venn Diagrams

Sampling and Data Collection

Mean, Median, Mode and Range

Frequency Tables — Finding Averages

Grouped Frequency Tables

Box Plots

Cumulative Frequency

Histograms and Frequency Density

Scatter Graphs

What does the notation $P(A|B)$ represent?

For independent events A and B, what is true about $P(A|B)$ ?

If $P(\text{reads}) = 0.7$ and $P(\text{isn't tired}|\text{reads}) = 0.8$ , find $P(\text{reads and isn't tired})$ .

A box has 5 red and 3 green discs. One red is taken. What is $P(\text{red on 2nd pick})$ ?

With 5 red and 3 green discs, what is $P(\text{both red})$ without replacement?