13B.4 - Karnaugh Maps

Learning intentions:

In this section we will examine:

How to determine probabilities of combined multi-stage random experiments.

The use of Karnaugh maps in representing sample spaces.

Karnaugh maps

Probabilities associated with two compound events are sometimes able to be calculated more easily using a probability table (Karnaugh map). A general map is shown below:

Mathematical operations when using a Karnaugh map

When using a Karnaugh map remember:

The columns and rows add up to give the total probability for the event described.
The final column and final row will add up to 1 (the probability of the sample space).
You can use the additional rule for probability to help solve problems.

Relationship between Karnaugh maps and Venn diagrams

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13B.4 - Exercises:

Success criteria:

You will be successful if you can:

Use Karnaugh maps to represent complex multi-stage random experiments.
Use the visual representations to calculate the probability of events.

Return to: Section 13B - Representing Sample Space