Module 1: Sets, Sample Spaces, & Events Flashcards
what does the sample space (S) represent?
it’s the set of all possible outcomes of an experiment
what is a subset of S is known as in probability intuitively?
an event
what is another name for the sample space?
the power set
what is a problem with using standard venn diagrams?
theres ambiguity in the drawing
what is the problem with the more clear venn diagrams?
too much drawing
what does it mean when sets are disjoint?
it’s when the sets have no shared elements
what if A ⊆ B but A doesn’t equal B?
then it’s a proper subset
what does the union of two sets mean?
A U B is the set containing all elements of A and B
what is the intersection of sets?
it’s the set of elements that are found in both sets
how is an intersection of sets A and B denoted?
A ∩ B
how is the difference b/w sets B and A denoted?
B \ A
what does the difference b/w sets B and A mean?
it’s the set of elements that are found in B and not in A
whats another way of denoting B \ A?
B ∩ A^c. c meaning complement or elements not in A
what is a pairwise disjoint?
no overlap b/w any collection of subsets
what is a partition?
it’s when the union of pairwise disjointed sets is the same as the sample space
