My little sister is about to do a written assignment on her math class. The assignment should be around 15 pages and she is supposed to work on it full time for one week. Her teacher suggested she wrote on probabilities and combinatorics in Poker and my sister found that interesting (runs with the family I guess). She has to come up with an idea for a particular question/formula/topic/idea herself and then her teacher refines that idea into a set of questions.
So my question is: Given a girl at 16 wokring on a 15 page assignment, what could be an interesting topic to write about in relation to poker and math?