Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.

Mutually exclusive events have no outcomes in common.

Conditional probability is the probability of an outcome occurring given that another event has occurred.

Probabilities in three event Venn diagrams

Maths

In this unit, pupils use their knowledge of calculating theoretical probabilities and extend this understanding to calculating conditional probabilities using all of the representations encountered in the prior unit.

Conditional probability

Venn diagrams are a representation used to model statistical and probability questions. Commonly circles are used to represent...

Sam asks 30 pupils if they take GCSE Art (A), GCSE Drama (D) or GCSE Music (M). The frequencies are shown in the Venn diagram. Find P(A ∩ D).

Sam asks 30 pupils if they take GCSE Art (A), GCSE Drama (D) or GCSE Music (M). The frequencies are shown in the Venn diagram. Find P(A ⋃ D′).

Here is a frequency Venn diagram. P(A ∩ B ∩ C) = {{ }}. Give your answer as a decimal.

Here is a frequency Venn diagram. P(A′ ⋃ B' ⋃ C) = {{}}. Give your answer as a decimal.

This frequency Venn diagram has 80 outcomes altogether. P(A ∩ B ∩ C) = $$\frac{1}{20}$$, P(A | B) = $$\frac{1}{3}$$ and P(A ⋃ B) = 0.7. $$x$$ = {{ }}.

An {{}} is a result of a trial in a probability experiment.

Izzy asks 30 pupils if they take GCSE Art (A), GCSE Drama (D) or GCSE Music (M). The frequencies are shown in the Venn diagram. {{}} pupils take drama but not music.

Izzy asks 30 pupils if they take GCSE Art (A), GCSE Drama (D) or GCSE Music (M). The frequencies are shown in the Venn diagram. {{}} pupils do not take music.

{odd numbers} and {multiples of 4} are mutually exclusive.

{odd numbers} is a subset of {prime numbers}.

{prime numbers} is a subset of {odd numbers}.

A spinner is numbered with the integers from 80 to 89. The incomplete outcome Venn diagram is used to display 3 events. Select the correct statements. 

What region is shown shaded in this Venn diagram?

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