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Business Objectives and Strategy

Decision trees and expected values

  • 1 thing to know
  • Components 01, 02 and 03

Overview

Recall questions on decision trees, decision and chance nodes, probabilities that sum to 1, calculating expected values and net gain, rolling back a tree from right to left, the limitations of decision trees, and why an option the business cannot finance must be rejected.

What you need to know

Answer each one before you reveal it.

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Key term

What is 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 mapping the options available in a decision, the possible outcomes of each, their probabilities and their financial results, so that the options can be compared numerically.

  2. 2

    What does a square node represent on a decision tree?

    Model answer

    A square is a decision node, the point at which the business chooses between the options available to it.

  3. 3

    What does a circular node represent on a decision tree?

    Model answer

    A circle is a chance node, the point at which the outcome depends on probability rather than on the business's own choice.

  4. 4

    Why must the probabilities on the branches leaving one chance node add up to 1?

    Model answer

    They cover every possible outcome of that event, so together they must account for the whole of it.

  5. 5

    A probability is given as 40%. Express it as a decimal and state the probability of the only alternative outcome.

    Model answer

    It is 0.4, so the probability of the only alternative outcome is 0.6.

  6. 6

    How is the expected value at a chance node calculated?

    Model answer

    Multiply each possible outcome by its probability and add the results together.

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Introduction to Business
Business Objectives and Strategy
External Influences
Accounting and Finance

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Revenue the cost of sales.
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AHow much finance the business needs to raise.
BHow much personal risk the owner is willing to carry.
CHow much control they want to keep.

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Customer means the person who buys a product and pays for it.
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