Using an outcome tree to display outcomes for two events
I can systematically find all the possible outcomes for two events by using an outcome tree diagram.
- Year 9
Using an outcome tree to display outcomes for two events
I can systematically find all the possible outcomes for two events by using an outcome tree diagram.
Lesson details
Key learning points
- Possible outcomes for two events can be shown in an outcome tree diagram.
- The outcome tree diagram can be used to generate either an outcome table or list.
- An outcome tree can be generated from either an outcome table or list.
Keywords
Tree diagrams - Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.
Outcome tree - 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.
Sample space - A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.
Common misconception
Every group of branches should have the same number of branches.
In a multi-staged trial, each stage may have a different number of outcomes. The number of branches in each group reflects the number of outcomes of a stage. This means each group of branches can be made from a different number of branches.
Equipment
Licence
Prior knowledge starter quiz
6 Questions
Q1.Which of these are equivalent to $$1\over5$$?
Q2.Andeep carries out the following trial: spinning this spinner once. Which of these is the sample space of distinct outcomes for Andeep's trial?

Q3.Each sector in a spinner is of equal size.
In which spinners are the outcomes of “win” and “lose” equally likely?

Q4.A fair, 6-sided dice has outcomes: {2, 3, 4, 5, 6, 7}.
Which of these events is most likely to happen?
Q5.A fair 6-sided dice has outcomes: {1, 2, 3, 4, 5, 6}.
Event: if the dice lands on a prime number, Aisha wins.
Which of these outcome spinners most closely represents the likelihood of Aisha winning?

Q6.Trial: a spinner will be spun twice. The outcome of each spin will be multiplied together.
The spinner has outcomes: {2, 5, 7, 11, 15}.
Match the letters to their correct value in the outcome table.

A - 30
B - 11
C - 121
D - 10
E - 5
Assessment exit quiz
6 Questions
Q1.The outcome tree represents all outcomes from spinning the spinner once. Which outcomes are missing from the outcome tree?

Q2.The outcome tree represents all outcomes from spinning spinner P and spinner Q once each. Match each letter to its value.

a - 16
b - 27
c - 8
Q3.This outcome tree represents all outcomes from spinning spinner R twice. The sample space shows the outcomes when the results of each spin are added.
Match each letter to its value.

a - 11
b - 16
c - 13
Q4.Trial: spinning this spinner once.
Event: the spinner landing on a prime number.
Which group of outcomes should be written inside the box?

Q5.This incomplete outcome tree represents all outcomes from spinning spinner X twice and adding the results of each spin.
In the sample space, match the letter to its value.

a - 6
b - 14
c - 15
d - 5
e - 10
Q6.Trial: spinning this spinner once.
Event 1: the spinner landing on a even number.
Event 2: the spinner landing on a square number.
Which of these outcomes should be written inside the box?
