Cheatography
https://cheatography.com
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} 


Conjunction
p 
q 
p∧ q 
T 
T 
T 
T 
F 
F 
F 
T 
F 
F 
F 
F 
Disjunction
p 
q 
pVq 
T 
T 
T 
T 
F 
T 
F 
T 
T 
F 
F 
F 
Other Statements
NAND 
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 Tables
A 
B 
A + B 
A x B 
1 
1 
1 
1 
1 
0 
1 
0 
0 
1 
1 
0 
0 
0 
0 
0 
Probability/Stats
Perms 
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 Formulas
b= 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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