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

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

Comparing representations of outcomes for 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 these are helpful when trying to systematically write down all outcomes for a two-stage trial?

Both the outcome table and outcome tree represent the same two-stage trial. 
Which outcomes go in the two locations marked by a question mark?

A and B are the only two outcomes for one stage of this trial.

The first layer of branches represent only two outcomes.

Each group in the second layer of branches represent three outcomes.

All the outcomes can be placed on the outcome tree in any order.

Which statements are correct for this outcome table and outcome tree?

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

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

Trial: Alex will spin this spinner and flip this coin, and then write the product of the two outcomes in the sample space. 
Which of these are the missing numbers on the spinner?

The number of outcomes on this spinner that are odd numbers is {{}}.

Trial: flipping the coin and spinning the spinner once each. 
Which of these lists of outcomes for the trial show a complete sample space? Use H for 'heads' and T for 'tails'.

Trial: spinning this spinner once. 
Event: multiple of 3. 
Which of these outcomes should be written inside the box?

Match each number to its correct location on the Venn diagram.

Jacob likes drama shows, but Izzy doesn't.

Izzy likes drama shows, but Jacob doesn't.

The Venn diagram shows a selection of types of TV shows that Jacob and Izzy do and do not like. 
Which of these statements is true for drama TV shows?

This incomplete outcome tree represents all outcomes from spinning spinner R twice and adding the results of each spin. 
Match each letter to its value in the sample space.

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