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Chapter 3 Probability
3.1 Events, sample space, and probability
•
Basic definitions:
An
______________
is an act of observation that leads to a single outcome that cannot be
predicted with certainty.
A
_______________ (or simple event)
is the most basic outcome of an experiment.
A
_______________
(denoted S) is the collection of all possible outcomes of an experiment.
An
______________
is a specific collection of sample points.
Examples:
1.
Experiment
: toss a coin and observe the up face.
Sample points
: ______________
Sample space: _____________
Event A:
head observed ____________
2.
Experiment:
toss a die and observe the up face.
Sample points
: ____________
Sample space: _____________
Event A:
even # observed ____________
Event B:
# observed at least 3
_______________
3.
Experiment
: toss two coins and observe the up faces.
Sample space: S: _________________
Event A:
at least one head observed
_________________
4.
Experiment
: toss three coins and observe the up faces.
Sample space: S: __________________________________________________
Event A
: at least one tail observed
A:
__________________________________________
5. Experiment: Weather forecast
(sunny, cloudy, rain)
Sample space: ________________________
Event A
: it won’t rain today.
___________________
Venn diagram:
•
The ______________ of a _______________:
measures the likelihood that the outcome will
occur for a large number repetition.

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