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Sets∈  "Is an element of..."  ∪  Union: combine elements of A and B  ∩  Intersection: elements that appear in both sets  ⊄  Is not a subset of  ⊆  Subset: all elements in A are in B  ⊂  Proper Subset: A is a proper subset of B iff A is a subset of B and B is not equal to A  ∅  Empty set  { }  Empty set  {∅}
 Not an empty set  A̅  Compliment: the set consisting of all element in U that are not in A  Set builder notation  {formula for elements restrictions} 
 
Other StatementsNAND  Not And: Negation of And  NOR  Not Or: Negation of OR  EOR  Exclusive Or: exactly one of p and q is true  Conditional Statement →  If p then q  Biconditional Statement ↔  p iff (if and only if) q 
  Boolean TablesA  B  A + B  A x B  1  1  1  1  1  0  1  0  0  1  1  0  0  0  0  0 
Probability/StatsPerms  P(n,r) = n!/((n−r)!)  Combs  C(n,r) = n!/(n−r)!r!  Sample Space  Set of all possible outcomes  Mean  Sum of set divided by length of set  Median  Middle term of an organized   Take the average of two terms if there is more than one middle term  Mode  The number that occurs most in a set  σ² (Variance)  Calculate the mean For each number, subtract the mean and square the result Calculate the average of the squared differences, or sum up the squared differences and divide by N, the number of values.  σ (Standard Deviation)  Square Root of Variance (σ²) 
Probability Formulasb= Binomial Probability  b(x; n, P) = nCx Px (1  P)  n= number of trials  x= number of successes  P= probability of success  Binomial Distribution  μ = n·P   σ² = n · P · (1P) 

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