Using an outcome tree to display outcomes for more than two events
I can systematically find all the possible outcomes for more than two events by using an outcome tree diagram.
Using an outcome tree to display outcomes for more than two events
I can systematically find all the possible outcomes for more than two events by using an outcome tree diagram.
Lesson details
Key learning points
- Possible outcomes for more than two events can be shown in an outcome tree diagram.
- The outcome tree diagram can be used to generate a list.
- An outcome tree can be generated from a list.
Common misconception
An outcome tree can only have a maximum of three layers of branches.
An outcome tree can have as many layers of branches as needed, depending on the number of stages there are in a trial. For example, if a trial involved flipping 7 coins, then there would be 7 layers of branches! That's too probably too many to draw!
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.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
1
9
36
4
16
Exit quiz
6 Questions
E
G
TGH
G
UGI
not possible
2
18
9
15