As the Number of Tosses of a Fair Coin Goes

Multiple Choice

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.