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

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

Maths

In this unit, pupils learn techniques for systematically listing all of the possible outcomes for both one event and two events. In the future unit, pupils use lists of outcomes to find theoretical probabilities

In this unit, pupils find all the factors of a number systematically and they understand that systematic listing is helpful in organising their work. The idea of being systematic is built on in this unit as pupils work to identify all possible outcomes

Probability: possible outcomes

Which of the Venn diagrams is always correct for three events?

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?

Match each numbered region on the Venn diagram to the correct outcomes.

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

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.

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

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?

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?

Which outcome tree matches this Venn diagram?

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

Lesson outcome