Intro to probability
 - finite events/sets
 - tree diagrams
 - functions/prob spaces
 - modeling
 - enumeration
 - numeracy
 - reliability (9's)
 o pennies trick
 o intransitive dice
 o random HT sequence or not?

Counting
 o 5-card magic trick
 - rule of sum, product, division
 - inclusion-exclusion
 - permutations
 - combinations

Game theory
 o Monty Hall
 o rock, scissors, paper
 x research

Proofs
 - Pigeonhole
 - Logic 
