Section 7. 1 – Experiments, Sample Spaces, and Events
1
Section 7.1
Experiments, Sample Spaces, and Events
An
experiment
is an activity with observable results (outcomes).
A
sample point
is an outcome of an experiment.
A
sample space
is a set consisting of all possible sample points of an experiment.
A
Finite Sample Space
is a sample space with finitely many outcomes.
An
event
is a subset of a sample space of an experiment.
Since an event is defined in terms of a set, it should make sense that we will use what we
covered in Chapter 6 in our study of experiments and events.
The
union
of two events E and F is
F
E
∪
.
The
intersection
of two events E and F is
F
E
∩
.
If the intersection
of two events E and F is equal to the Ø, then E and F are called
mutually
exclusive
.
Two events that can not happen at the same time are mutually exclusive.
Example: A box contains 1 red, 1 blue and 1 white card. If you pick one card from the box, the
possible outcomes are:
Sample Space: {R, B, W}
The event R: the chosen card is Red.
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 Spring '08
 CONSTANTE
 Math, Stanford prison experiment, Empty set, Natural number

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