Each of the following three experiments will be repeated 1 million times and the variance of the 1 million results will be calculated. Which of these experiments do you think will have the largest variance? The smallest variance? Explain your reasoning.

a. A coin is flipped and a 1 is recorded if it lands heads, 0 if it lands tails.

b. A coin is flipped eight times and the number of heads is recorded.

c. A coin is flipped eight times and the number of heads, divided by 8, is recorded.