How many different orders of three "dogs" are possible if there are three choices: regular dog, chili dog, super dog? All that matters here is how many of each are ordered. An example order would be 1 regular dog and 2 super dogs (and 0 chili dog).
This problem is worth 20 points.
Place a penny on its edge on a smooth, flat surface, with Lincoln's bust right-side up and facing you. Lightly holding the penny in this vertical position with one finger of one hand, flick the edge of the penny sharply with a finger of the other hand to set it spinning. Let it spin freely until it drops. Record the trial (spin) number and the outcome--H (heads) or T (tails) for 100 spins. Do not count "muffs."
A. Neatly and carefully plot the ratio of the number of heads in the first n spins to n versus n for n = 1, 2, 3, ..., 100.
B. Divide your 100 observations into 10 groups of 10 each: the first 10 observations, the second ten, and so on. For each group, count the number of heads. Then make a bar graph showing the frequency of each count. (The "count" of heads for each group could be 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10.)
C. (This is important.) Describe the nature of your results. Note particularly how they support (or fail to support) the theory presented in class and the text. (You may want to peek ahead in the text.)