Sample space | S | a list of possible outcomes (make sure they are unique values) |
A specific event | A, B, C,... | a subcollection of outcomes in S |
Simple event | A, B, C,... | an event that contains one outcome that cannot be broken down any further |
Compound event | S | an event that contains more than one outcome |
Complementary event | A', Ac | an event that contains all outcomes not in the original event (A′ contains all outcomes not in A) |
Union of 2 events (A or B) | A ∪ B | an event that contains all outcomes in A, B, or both (make sure not to double-count outcomes) |
Intersection of 2 events (A and B) | A ∩ B | an event that contains only the outcomes in both A and B |
The probability of A | P(A) | the chance of event A has occured: P(A) = number of outcomes in A / number of equally-likely outcomes in S |
A belongs to B | A ∈ B | |
Null set | ∅ | Empty set |
Universal set | Ω, S | a set that contains all the elements or objects of other sets, including its own elements |
Atom, singleton | ω, s | |
Proper subset | ⊂ | A ⊂ B if set B contains at least one element that is not present in set B |
Subset | ⊆ | A ⊆ B if all elements of A are also elements of B |