Which measurement is used to determine the likelihood of some event occurring over 100 trials?

The most appropriate measurement to determine the likelihood of an event occurring over a specified number of trials, such as 100, is probability. Probability is defined as the measure of the likelihood that a given event will occur. It is typically expressed as a ratio of the number of successful outcomes to the total number of possible outcomes, which can effectively translate into a value between 0 (impossible event) and 1 (certain event).

In the context of 100 trials, probability provides an accurate framework for predicting outcomes and evaluating expectations based on past performance or empirical data. This allows practitioners to assess how likely an event is to happen in similar future scenarios.

While proportion and percentage can represent the outcomes, they do not inherently capture the concept of likelihood in the same way. Proportion refers to the relationship between part of a dataset and the whole, usually represented as a fraction. Percentage is a specific way to express proportions, indicating how many parts per hundred. Expectancy, on the other hand, typically relates to anticipated outcomes based on prior results or averages rather than purely measuring likelihood.

Overall, probability is the most precise term to discuss the chances of an event occurring over repeated trials.