Chapter 7.1: Some Definitions
•
We now begin our study of probability.
•
With probability, we are interested in the
outcomes
of an
experi
ment
.
•
An experiment is any activity where we can measure, or observe the
results. As an example, flipping a coin three times and noticing the
sequence of heads and tails is an experiment.
•
Our observations are the outcomes of an experiment.
•
In set theory, the set which contained all elements under discussion
was called the universe, and had the symbol
U
. In probability theory,
we call this set the
sample space
, and give it the symbol
S
.
The
sample space contains all possible outcomes of an experiment.
•
Much like the universe, the sample space may contain a finite or an
infinite number of outcomes. We will only be concerned with experi
ments where the sample space is finite.
•
Inside the universe, we had different subsets (collections of elements).
In probability, we call these subsets
events
, and we call the elements
they contain
sample points
.
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 Spring '11
 stephenlang
 Calculus, Probability, Probability theory, Sample points

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