An outcome table is a table that shows all the possible outcomes.

Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.

Each branch of an outcome tree shows a possible outcome from an event or from a stage of a trial. The full outcome tree shows all possible outcomes.

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

Comparing representations of 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

An outcome table can be used to list the outcomes of a three-stage trial.

An outcome table can categorise the outcomes of a trial into three events.

A Venn diagram can be used to list the outcomes of a three-stage trial.

A Venn diagram can categorise the outcomes of a trial into three events.

An outcome tree can be used to list the outcomes of a three-stage trial.

Lucas creates an outcome tree to systematically list all possible three-course meals. The 1st layer of branches will show the starters. The number of branches needed for the 1st layer is {{ }}.

Lucas creates an outcome tree to systematically list all possible three-course meals. The 2nd layer of branches will show the mains. The number of branches needed in total for the 2nd layer is {{ }}.

This is an incomplete list of outcomes to a three-stage trial. Match each statement to the minimum number of outcomes that completes the sentence.

This Venn diagram and outcome tree both show events for the same trial. Match each letter in the outcome tree to the correct outcome from the Venn diagram.

This Venn diagram and outcome tree both show events for the same trial. Match each letter in the Venn diagram to the correct outcome from the outcome tree.

The Venn diagram shows the sample space $$\xi$$ = {2, 7, 77, 104}. Match each region to the correct outcome.

Alex likes cricket, but Laura does not like cricket.

Alex does not like cricket, but Laura likes cricket. 

The Venn diagram shows a selection of sports that Alex and Laura do and do not like. Which of these statements is true?

This incomplete outcome tree represents all outcomes from spinning spinner X twice and subtracting the outcome of spin 2 from spin 1. 
Match each letter to its value in the sample space

Trial: spinning this spinner once. Event: factor of 120. This event and its opposite event are represented on an outcome tree. Which outcome should be written inside the box?

Trial: Spinner A is spun twice and coin is flipped. The outcome of each spin is added together. This incomplete outcome tree shows all the trial's outcomes. Match each letter on the tree to its value.

Both the Venn diagram and outcome tree represent the same two events from a trial. Match the outcome from the Venn diagram to the missing outcome from the outcome tree.

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