Using a Venn diagram to display outcomes for more than two events | Maths

Starter quiz

Venn diagrams are a representation used to model statistical/probability questions. Usually ______ are used to represent events.

'circles' ✓
A Venn diagram has a sample space of {integers from 1 to 16 inclusive}, event A = {square numbers} and event B = {odd numbers}. Select the outcomes that are in both event A and event B.

1 ✓

4

9 ✓

16

25
Which of these symbols represents the sample space on a Venn diagram?

$\pi$

$\xi$ ✓

$\emptyset$

$\Omega$
This Venn diagram shows some sandwich orders. The choices are white (W) or brown (B) bread and the filling can be cheese (C) or ham (H). Which pupil had a cheese sandwich made with brown bread?

Alex

Andeep

Jun

Lucas

Sam ✓
This Venn diagram shows some sandwich orders. You can have white (W) or brown (B) bread and the filling can be cheese (C) or ham (H). Which pupils had a ham sandwich?

Alex

Andeep ✓

Jun

Lucas ✓

Sam
Which outcome tree matches this Venn diagram?

Which of the Venn diagrams is always correct for three events?
Which description best describes the region that is shaded on this Venn diagram?

Outcomes that are in event A and event B but not in event C.

Outcomes that are in event A and event C but not in event B.

Outcomes that are in event B and event C but not in event A. ✓
Which description best describes the region that is shaded on this Venn diagram?

Outcomes that are in event A, event B and event C.

Outcomes that are in event A, event B or event C.

Outcomes that are not in event A and event B and event C.

Outcomes that are not in event A nor event B nor event C. ✓
This outcome tree shows a sample space, organised into three events. Where would {3, 5} be on a Venn diagram showing the same sample space?
Which of the outcomes from the sample space shown on the outcome tree would be in the shaded region of a Venn diagram showing the same information?

{7, 11}

{9}

{2}

{6, 10} ✓

{4, 8, 12}
Match each numbered region on the Venn diagram to the correct outcomes.

region 1

⇔

{9} ✓

region 2

⇔

{1} ✓

region 3

⇔

{7, 11} ✓

region 4

⇔

{2} ✓

region 5

⇔

$\emptyset$ ✓

region 6

⇔

{4, 8, 12} ✓

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Pupils may struggle with the phrasing and language, when trying to identify the correct regions of the Venn diagram.

Encourage the pupils to describe each region of the Venn diagram, in context where appropriate.

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