the opposite event
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
same as mutually exclusive
independent (Cond. Prob Form)
knowledge of one event does not effect another event
independent (intersection form)
P(A int B)=P(A)P(B)
probability of two or more events happening at the same time
same as intersecting events
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
two events are never mutually exclusive and independent at the same time
a visual picture where the second branching represents conditional probability
the proportion of times an outcome occurs in a long series of repetitions
individual outcomes are uncertain but there is a regular distribution of outcomes
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)
using random charts or random generators to perform a large number of trials to approximate the probability
P(AUB)=P(A)+P(B)-P(A int B)
a visual picture where circles are used and areas represent the probability of being in that section
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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