When listing outcomes systematically, they are listed in such a way as to ensure all outcomes are recorded.

Using lists to display 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

These two spinner are spun. Which of the lists of outcomes have been completed systematically?

The list of outcomes from the two spinners has been composed non-systematically. The outcome {{ }} has been omitted.

The outcomes of the two spinners can be systematically listed like this H1, H2, H3, H4, ... and so on. 
Finish the list by putting the outcomes in the correct order.

A standard fair six-sided dice is going to be rolled. Event A = {prime number} and event B = {multiple of 3}. Which of these outcomes are in event A and event B?

This spinner is to be spun. Event A = {5 letter words} and event B = {words with consecutive double letters}. How many outcomes are in both event A and event B?

A standard fair six-sided dice is going to be rolled. Event A = {odd number} and event B = {4, 6}. Match the outcomes to the correct event.

5, 15, 20, 35, 750 are all multiples of {{}}.

Which of these numbers is not on a standard fair six-sided dice?

How many possible outcomes are there on this spinner?

Match the spinner to the possible outcomes.

'rolling an odd number' and 'rolling an even number'

'rolling a square number' and 'not rolling a square number'

'rolling a prime number' and 'not rolling a prime number'

'rolling a square number' and 'rolling a multiple of 3'

When rolling a standard fair six-sided dice, which of these events would be equally likely to occur?

It has more than 50% chance of happening, but less than 100%

It has less than 50% chance of happening, but more than 0%

Laura correctly describes an event as having an unlikely chance of happening. According to the likelihood scale, which of these statements is true about the event?

Starter Quiz