Lyrics
[verse]
Probability theory looks at situations in which the outcomes occur randomly.
These are called experiments, and the set of all possible outcomes is the sample space corresponding to an experiment.
The sample space is denoted by big omega, and an element of big omega is little omega.
Omega equals, opening braces, little omega, little omega, dot-dot-dot, closed braces.
[chorus]
Omega, the sample space is made of experiments.
the outcome of each experiment is denoted little omega.
Subsets of Omega are called events.
An empty set is an event with no outcome.
[verse]
Driving to work, a commuter passes through a sequence of three intersections with traffic lights.
At each light she either stops, the letter 'ess' or continues, the letter 'see'.
'see' 'ess' 'see', for example, denotes the outcome that the commuter continues through the first light, stops at the second light, and continues through the third light, 'see' 'ess' 'see'.
The sample space is the set of all possible outcomes.
Omega equals, opening braces, see see see, see see ess, see ess ess, see ess see, ess ess ess, ess ess see, ess see see, ess see ess, closed braces.
[chorus]
Omega, the sample space is made of experiments.
the outcome of each experiment is denoted little omega.
Subsets of Omega are called events.
An empty set is an event with no outcome.
[verse]
In probability language, subsets of the sample space big omega, are called events.
This is different than elements of big omega, which are denoted as little omega.
The event that the commuter stops at the first light is the subset of omega, which we can call A.
'A' equals opening braces, ess ess ess, ess ess see, ess see see, ess see ess, closed braces.
[chorus]
Omega, the sample space is made of experiments.
the outcome of each experiment is denoted little omega.
Subsets of Omega are called events.
An empty set is an event with no outcome.
[verse]
Some subsets of omega, in probability language are called events.
A is an event where the commuter stops at the first light.
'A' equals opening braces, ess ess ess, ess ess see, ess see see, ess see ess, closed braces.
[chorus]
Omega, the sample space is made of experiments.
the outcome of each experiment is denoted little omega.
Subsets of Omega are called events.
An empty set is an event with no outcome.