Final answer:
Theoretical probability expressed as a fraction of 9 and 13 means there are 9 favorable outcomes out of 13 possible outcomes, with the numerator representing favorable outcomes and the denominator representing total possible outcomes.
Step-by-step explanation:
The theoretical probability of a given event that is represented as a fraction of 9 and 13 means that there are 9 favorable outcomes for an event out of 13 possible equally likely outcomes. In this fraction, the numerator (9) indicates the number of ways the event can occur, while the denominator (13) indicates the total number of all possible outcomes.
Theoretical probability is calculated under the assumption that all outcomes are equally likely and is used to predict what can be expected in the long term, as seen in experiments like those carried out by the English statistician Karl Pearson.