Explaining the contents of probability theory and mathematical statistics methods, we can extract some related mathematics textbooks as the second chapter. Reference page number ~ 10- 15
Explain the actual situation of the roll-call mechanism, such as what forms or methods exist in the roll-call mechanism (such as roll-call/enumeration method, sampling method ..., hand-in method of field work, etc.). ), compare the advantages and disadvantages of each method, and then focus on finding a better method and lead to the probability method. This can be used as the third chapter. Reference page ~5
The fourth chapter, which is also the core part, explains the advantages of probability method, and of course points out that this method is more effective when the number of group objects is large. Then explain how the probability method is applied to the roll call mechanism. You have to think about how to write it yourself, and the role of the tutor is here. Reference pages ~5 pages, the more the better.
Well, although I'm not a math major, the methods and ideas of analyzing physics application problems should be not much different from your problems.