You roll a single six-sided die 10 times and you get the following results: 3 ou

Question

You roll a single six-sided die 10 times and you get the following results:

3 outcomes of a 1

5 outcomes of a 3

1 outcome of a 6

You continue rolling the same die and you pause to look at your new results that are now:

15 outcomes of a 1

12 outcomes of a 2

10 outcomes of a 3

17 outcomes of a 4

14 outcomes of a 5

13 outcomes of a 6

What statistical principle is illustrated in this example?

A. Rare Event Rule for Inferential Statistics

B. Law of Large Numbers

C. Relative Frequency Approximation of Propbability

D. Bayes' Theorem

Explanation / Answer

B. Law of Large Numbers

Here, as thge number of trials increase, we see that all outcomes are appearing in somewhat same frequencies. Initially, when number of trials were less, only few outcomes appeared and their frequencies varied considerably, but that got even and came closer to the expected frequency as the number of trials increased. This is called, Law of Large Numbers

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