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An empirical estimate of the probability of an event is the ratio of the number of succesful outcomes to the total number of trials. By definition, the ratio is a fraction. However, there are many events for which the theoretical probability is related to Irrational Numbers. For example, it you randomly drop a pin on a floor of wooden boards, the probability that the pencil lies across a lateral join is related to pi. Being irrational, this cannot be expressed as a fraction.

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Q: How do you turn probability into a fraction?
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