What Mathematics Fields Are Key to Understanding Gambling?

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Suppose I am very interested in the subject. What field/s of mathematics would I be studying?
Combinatorics, Statistics and Probability?
 
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Winzer said:
Suppose I am very interested in the subject. What field/s of mathematics would I be studying?
Combinatorics, Statistics and Probability?

Essentially both. Discrete probabilities (gambling odds for example) are frequently derived using combinatorics.
 
Also, here's an online book by Edward Thorp, the guy who figured out how to beat blackjack:

http://www.bjmath.com/bjmath/thorp/tog.htm