What outcome can be represented as a ratio of two counts in theoretical probability?

In theoretical probability, the outcome represented as a ratio of two counts specifically refers to the count of favorable outcomes compared to the total count of all possible outcomes. This ratio is essential for calculating the probability of a specific event occurring.

The count of favorable outcomes is the number of ways an event can occur, while the count of all possible events represents the total number of outcomes that can occur in a sample space. This relationship—favorable outcomes over total outcomes—gives a clear mathematical representation of the likelihood of an event within a defined set of possibilities.

Other options relate to different concepts within probability:

• The count of all possible events is a necessary part of the formula but does not serve as the numerator in the probability ratio.

• The count of unsuccessful trials does not contribute directly to calculating theoretical probability; it’s more relevant in contexts of experimental or empirical studies.

• The count of repeated experiments is related to the process of data collection or empirical validation but is not a direct component in determining the probability of a single event.

Thus, the ratio representing the count of favorable outcomes is critical for understanding and calculating theoretical probability effectively.