Suppose you plan to flip a coin indefinitely. The first two flips are heads.
a. Is a head or a tail more likely on the next flip?
b. How many heads do you expect to have at the end of 10 flips? What is the expected percentage of heads at the end of 10 flips?
c. How many heads do you expect to have at the end of 1,000 flips? What is the expected percentage of heads at the end of the 1,000 flips?
d. As you keep flipping the coin, what happens to the expected number of heads? What happens to the expected percentage of heads?