Question 31

The more an event is repeated, the more predictable the outcome becomes. This is an example of the law of large numbers.

The law of large numbers states that as the number of trials in a random process increases, the average of the outcomes will converge to the expected value. This principle emphasizes that repeated trials lead to more reliable and predictable results.

A) the law of large numbers.

This option is correct because it directly describes the phenomenon where increasing the number of repetitions of an event leads to outcomes that are closer to the expected average. The law of large numbers is a foundational concept in probability and statistics.

B) standard deviation.

Standard deviation measures the amount of variation or dispersion in a set of values. While it relates to predictability, it does not explain the increasing predictability of outcomes as events are repeated. Therefore, this option is incorrect in the context of the question.

C) average dispersion.

Average dispersion is not a standard term used in statistics. Even if it refers to how data spreads around a central value, it does not capture the essence of predictability through repeated trials. Hence, this option is incorrect.

D) normal variance.

Normal variance refers to the variability of a normal distribution, which does not directly relate to the predictability of outcomes through repeated events. As such, this option does not address the principle highlighted in the question and is incorrect.

Conclusion

The law of large numbers provides a clear framework for understanding how repeated trials lead to more predictable outcomes. In contrast, the other options do not accurately reflect this concept, making them incorrect. Thus, option A stands out as the only correct answer that encapsulates the relationship between repetition and predictability in outcomes.