49. The more an event is repeated, the more predictable the outcome becomes. This is an example of
Answer: A
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 experiment increases, the average of the outcomes will get closer to the expected value. This principle illustrates how repetition leads to more predictable results.
A) the law of large numbers.
This option is correct because it directly describes the phenomenon where increased repetition of an event leads to outcomes that converge towards a predictable average, demonstrating statistical reliability.
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 encapsulate the concept of increasing predictability with repetition as described by the law of large numbers.
C) average dispersion.
Average dispersion refers to how spread out a set of data points is. This concept does not specifically address the predictability of outcomes with increased repetitions, making it irrelevant in this context.
D) normal variance.
Normal variance typically refers to variance within a normally distributed dataset. This option does not accurately represent the principle that more repetitions lead to predictability, which is the essence of the law of large numbers.
Conclusion
The law of large numbers clearly defines how repeated trials lead to a more stable and predictable outcome, distinguishing it from concepts like standard deviation, average dispersion, and normal variance, which focus on variability rather than predictability. Therefore, option A is the only correct choice, while all other options fail to capture this critical statistical principle.