###
complement (def)

the opposite event

###
complement (form)

P(A)=1-P(Ac)

###
conditional probability (def)

probability of one even happening under the condition that we know another event has already happened

###
conditional probability (form)

P(A|B)=P(both happening)/P(given happening)

###
conditional probability (table)

calculate the relative proportion by eliminating the rows or columns not given

###
disjoint

same as mutually exclusive

###
independent (Cond. Prob Form)

P(A|B)=P(A)

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independent (def)

knowledge of one event does not effect another event

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independent (intersection form)

P(A int B)=P(A)P(B)

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intersection

probability of two or more events happening at the same time

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joint events

same as intersecting events

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multiplication principle

if one event can be done in x ways and another can be done in y ways then both can be done in xy ways

###
mutually exclusive (def)

two or more events with no common or overlapping items

###
mutually exclusive (form)

P(A int B)=0

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never

two events are never mutually exclusive and independent at the same time

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probabilitree diagram

a visual picture where the second branching represents conditional probability

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probability

the proportion of times an outcome occurs in a long series of repetitions

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random

individual outcomes are uncertain but there is a regular distribution of outcomes

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replacement

drawing an element from a sample space and returning it after recording its value. the probability of the next event doesn't change

###
sample space (def)

a list of all possible events

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sample space (form)

P(S)=1

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simulation

using random charts or random generators to perform a large number of trials to approximate the probability

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union

P(AUB)=P(A)+P(B)-P(A int B)

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union-mutually exclusive

P(AUB)=P(A)+P(B)

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union-independent

P(AUB)=P(A)+P(B)-P(A)P(B)

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venn diagram

a visual picture where circles are used and areas represent the probability of being in that section

###
without replacement

drawing an element from a sample space and not returning it after recording its value. The probability of the next event does change

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