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:
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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