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27 terms

Chapter 6

MR. Rod
STUDY
PLAY
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)
independent (def)
knowledge of one event does not effect another event
independent (intersection form)
P(A int B)=P(A)P(B)
intersection
probability of two or more events happening at the same time
joint events
same as intersecting events
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
never
two events are never mutually exclusive and independent at the same time
probabilitree diagram
a visual picture where the second branching represents conditional probability
probability
the proportion of times an outcome occurs in a long series of repetitions
random
individual outcomes are uncertain but there is a regular distribution of outcomes
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
sample space (form)
P(S)=1
simulation
using random charts or random generators to perform a large number of trials to approximate the probability
union
P(AUB)=P(A)+P(B)-P(A int B)
union-mutually exclusive
P(AUB)=P(A)+P(B)
union-independent
P(AUB)=P(A)+P(B)-P(A)P(B)
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