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Independent events (Edexcel GCSE Maths): Quizzes

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Independent events

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What are independent events?

Events where one doesn't affect the other

What is the key characteristic of independent events?

One outcome gives no info about the other

What formula finds the probability of both independent events $A$ and $B$ happening?

$P(A) \times P(B)$

When can you use the multiplication rule $P(A) \times P(B)$ ?

Only when events are truly independent

If $P(A) = 0.5$ and $P(B) = 0.4$ , what is $P(A \text{ and } B)$ if independent?

$0.2$

In a tree diagram, what must probabilities from the same branch point add to?

$1$

To find the probability of a specific outcome in a tree diagram, what do you do?

Multiply along the branches

To find probability of multiple possible outcomes in a tree diagram, what do you do?

Add up the individual probabilities

$P(A \text{ scores}) = 0.3$ , $P(B \text{ scores}) = 0.4$ . Find $P(\text{exactly one scores})$ .

$0.46$

A spinner is spun twice. $P(\text{blue}) = \frac{7}{8}$ . Find $P(\text{blue both times})$ .

$\frac{49}{64}$

What operation do you use to find the probability of event $A$ AND event $B$ ?

Multiply

What operation finds probability when you want 'this OR that' to happen?

Add probabilities

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Independent events (Edexcel GCSE Maths): Quizzes

Practise the questions

What are independent events?

What is the key characteristic of independent events?

What formula finds the probability of both independent events AAA and BBB happening?

When can you use the multiplication rule P(A)×P(B)P(A) \times P(B)P(A)×P(B)?

If P(A)=0.5P(A) = 0.5P(A)=0.5 and P(B)=0.4P(B) = 0.4P(B)=0.4, what is P(A and B)P(A \text{ and } B)P(A and B) if independent?

In a tree diagram, what must probabilities from the same branch point add to?

To find the probability of a specific outcome in a tree diagram, what do you do?

To find probability of multiple possible outcomes in a tree diagram, what do you do?

P(A scores)=0.3P(A \text{ scores}) = 0.3P(A scores)=0.3, P(B scores)=0.4P(B \text{ scores}) = 0.4P(B scores)=0.4. Find P(exactly one scores)P(\text{exactly one scores})P(exactly one scores).

A spinner is spun twice. P(blue)=78P(\text{blue}) = \frac{7}{8}P(blue)=87​. Find P(blue both times)P(\text{blue both times})P(blue both times).

What operation do you use to find the probability of event AAA AND event BBB?

What operation finds probability when you want 'this OR that' to happen?

Explore Edexcel GCSE Maths Revision Notes by Topics

Two-way tables

Pictograms

Bar charts

Pie charts

Scatter graphs

Averages and range

Averages from tables 1

Averages from tables 2

Line graphs

Stem-and-leaf diagrams

Sampling

Comparing data

Probability 1

Probability 2

Relative frequency

Frequency and outcomes

Line graphs

Stem-and-leaf diagrams

Sampling

Comparing data

Probability 1

Probability 2

Relative frequency

Frequency and outcomes

Venn diagrams

Set notation

Independent events

Explore Edexcel GCSE Maths Model Answers by Topics

Two-way tables

Pictograms

Bar charts

Pie charts

Scatter graphs

Averages and range

Averages from tables 1

Averages from tables 2

Line graphs

Stem-and-leaf diagrams

Sampling

Comparing data

Probability 1

Probability 2

Relative frequency

Frequency and outcomes

Line graphs

Stem-and-leaf diagrams

Sampling

Comparing data

Probability 1

Probability 2

Relative frequency

Frequency and outcomes

Venn diagrams

Set notation

Independent events

Explore Edexcel GCSE Maths Flashcards by Topics

Two-way tables

Pictograms

Bar charts

Pie charts

Scatter graphs

Averages and range

Averages from tables 1

Averages from tables 2

Line graphs

What formula finds the probability of both independent events $A$ and $B$ happening?

When can you use the multiplication rule $P(A) \times P(B)$ ?

If $P(A) = 0.5$ and $P(B) = 0.4$ , what is $P(A \text{ and } B)$ if independent?

$P(A \text{ scores}) = 0.3$ , $P(B \text{ scores}) = 0.4$ . Find $P(\text{exactly one scores})$ .

A spinner is spun twice. $P(\text{blue}) = \frac{7}{8}$ . Find $P(\text{blue both times})$ .

What operation do you use to find the probability of event $A$ AND event $B$ ?