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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.

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Key term

What is a decision tree?

Key term

State what a square and a circle represent on a decision tree.

Questions from this subtopic

Each one with the model answer underneath.

  1. 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. 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. 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. 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. 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. 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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