Which of the following is an example of the law of large numbers?
A) The gambler's fallacy
B) Mutual exclusivity of whether heads or tails are obtained on a single toss of a coin
C) In the long run, the chances of obtaining heads from tossing a fair coin is 0.5.
D) The empirical probability of obtaining a 6 after ten tosses of a fair die.

Question

Quizplus · Accepted Answer

The law of large numbers states that in the long run, the empirical probability of an event will approach its true probability. In this case, the true probability of obtaining heads from a fair coin is 0.5, and over a large number of flips, the empirical probability will approach 0.5. Option A is the opposite of the law of large numbers, as it assumes that past outcomes will affect future ones. Option B is simply stating the mutually exclusive outcomes of a single coin toss. Option D is not an example of the law of large numbers, as it only describes the empirical probability after a small number of trials (10 tosses).

Which of the Following Is an Example of the Law