As the number of tosses of a fair coin goes up from 10, to 100, to 1000, and to 10,000, what happens to the probability of getting between 40% and 60% heads? What happens to the probability of getting exactly 50% heads?
A) Both of those probabilities increase.
B) Both of those probabilities decrease.
C) The first probability increases, but the second one decreases.
D) The first probability decreases, but the second one increases.
E) We don't know until we toss the coin.

Question

Quizplus · Accepted Answer

As the number of tosses increases, the probability of getting between 40% and 60% heads increases because the Law of Large Numbers suggests that the proportion of heads will approach the true probability of 50% as the number of tosses increases. On the other hand, the probability of getting exactly 50% heads decreases because there are more possible outcomes as the number of tosses increases, and only one of those outcomes results in exactly 50% heads.

As the Number of Tosses of a Fair Coin Goes