Our coin tosses have been an example of a binomial experiment. A binomial experiment consists of n trials, where each trial is like a coin toss with exactly two possible outcomes. In each trial, the probability for each outcome remains constant.
In the previous section, we used a tree diagram to help us determine one particular outcome of a binomial experiment of n = 4 trials: the number of heads resulting from four tosses of a fair coin. These outcomes can be represented by the table you created in Problem C4:
Let's take a look at the patterns that emerge when you run this binomial experiment several times, each time increasing the number of trials:
If you display these possible outcomes in the following format, you'll find that they form what's known as Pascal's Triangle: