WJEC A-Level Business 601-5238-2
Enterprise and Starting a Business
Markets and Market Research
Marketing
People in Business
Operations Management
Business Finance and Accounts
Business Analysis and Decision-Making
Strategy and Implementation
Managing Change and Risk
The External Environment
Business Analysis and Decision-Making
Decision trees
- 2 things to know
- A2 Unit 3
Overview
Decision tree, formula for the expected value of a chance node and main weakness of relying on estimated probabilities.
What you need to know
Answer each one before you reveal it.
State what a square and a circle represent on a decision tree.
Questions from this subtopic
Each one with the model answer underneath.
- 1
What is a decision tree?
Model answer
A decision tree is a diagram that maps the options open to a business, the possible outcomes of each, and the probability and financial value of every outcome.
- 2
State what a square and a circle represent on a decision tree.
Model answer
A square is a decision point where the business chooses between options, and a circle is a chance node where the outcome depends on probability.
- 3
Explain why decision trees are described as a scientific decision-making tool.
Model answer
They force the possible outcomes, their probabilities and their financial values to be set out explicitly and compared by calculation rather than by feel.
- 4
State the formula for the expected value of a chance node.
Model answer
Expected value = the sum of each outcome's probability multiplied by its financial value.
- 5
Explain why the probabilities leaving a single chance node must add up to 1.
Model answer
The branches must cover every possible outcome of that event, and one of them is certain to happen.
- 6
An option gives a 0.6 chance of a £500,000 return and a 0.4 chance of a £100,000 return. Calculate its expected value.
Model answer
The expected value is £300,000 plus £40,000, which is £340,000.
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