Problem solving with possible outcomes
I can choose an appropriate diagram to display the outcomes for different events.
Problem solving with possible outcomes
I can choose an appropriate diagram to display the outcomes for different events.
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Lesson details
Key learning points
- The possible outcomes can be displayed for two or more events using an appropriate diagram.
- The various diagrams can be evaluated and the appropriateness of each diagram decided.
- The likelihood of an outcome can be determined using a mixture of different diagrams.
Keywords
Likelihood - Likelihood describes the chance that a particular event occurs.
Outcome table - An outcome table is a table that shows all the possible 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.
Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
Common misconception
Outcome tables and outcome trees only work for outcomes that are all equally likely.
Outcome tables can be separated into more rows and columns, and outcome trees split into more branches, to show outcomes that are more or less likely than other ones. This does mean these diagrams do get massive very quickly!
To help you plan your year 9 maths lesson on: Problem solving with possible outcomes, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Problem solving with possible outcomes, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 3 maths lessons from the Probability: possible outcomes unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
a -
8
b -
144
c -
81
d -
201
a -
28
b -
35
c -
280
d -
77
a -
21
b -
5
c -
49
d -
7
e -
15
a -
56
b -
14
c -
84
d -
21
Exit quiz
6 Questions
a -
X X
b -
Y X
c -
Y Y
d -
Z X
e -
Z Z
The event that Alex wins... -
is the most likely outcome.
The event that Sam wins... -
is in between the least and most likely outcomes on a likelihood scale
The event that they draw... -
is the least likely outcome.
The most common outcome is... -
Y Y
The least common outcome is... -
X X
Y Y appears 1.5× as often as... -
XY
