Applications of Probability:

Abstract

The binomial distribution is as important as any distribution in probability. It is quite simply the description of the outcome of throwing a coin n times. The binomial coefficient graph of Section 15 is reproduced here as Figure 1 with only slight modification. Each node is an intersection. We start at the top node which is on level 0 and proceed to higher levels by making left and right turns at each level. Any intersection on a particular level can be characterized by the number of left turns it takes to get there. For example, the second intersection from the left on level 3 is denoted by the binomial coefficient because it is on