Question

Which of the following best describes the statement "The more times an event is repeated, the more predictable the outcome becomes"?

- A) Law of large numbers
- B) Principle of uncertainty
- C) Probability of loss
- D) Law of averages

Answer 1

The best description for the statement about repeated events becoming more predictable is the Law of Large Numbers, which states that as the number of experiments increases, the experimental probability approaches the theoretical probability.

Step-by-step explanation:

The statement "The more times an event is repeated, the more predictable the outcome becomes" best describes the Law of Large Numbers. This law in probability and statistics suggests that as the number of trials or observations increases, the actual results will converge on the expected value. In other words, the larger the number of trials, the closer the experimental probability (or relative frequency) will get to the theoretical probability. For example, if you flip a coin many times, even though each flip is independent, the overall proportion of heads to tails will get closer to the expected 50/50 distribution as the number of flips increases. This illustrates that phenomena in nature and probability experiments follow regular patterns, making events more predictable when based on large samples.

Correspondingly, in statistical terms, the larger the sample size taken from a population, the more the sample mean will converge toward the population mean, as outlined both by the Law of Large Numbers and illustrated through the Central Limit Theorem.