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Probability of Events
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Fundamental Principle of Counting

In the previous lesson, you learned how to list all the elements of the sample space of a given experiment. In dealing with probability, it is important to know the number of elements of the sample space or the event.

Consider an experiment with k operations. Suppose the first operation can be performed in n 1 ways, the second operation in n 2 ways, and so on. Then the entire experiment can be performed in

n 1 · n 2 ·...· n k ways.

This counting technique is called the Fundamental Principle of Counting.