In the realm of chance, where uncertainty lies,
A mathematical dance unfolds before our eyes,
Probability distribution, a fantastic creation,
Unveils the secrets of random phenomena's formation.

Within the sample space, where possibilities reside,
Ω, denoted, where outcomes coincide,
An assortment of events, subsets to behold,
Each assigned a probability, a story to be told.

A coin flip, a simple tale to commence,
Heads or tails, a binary suspense,
Ω = {heads, tails}, a duo in sight,
Where uncertainty shimmers, like day and night.

Random variables, the heartbeat of this quest,
Discrete and continuous, they attest,
In the former's realm, a mass function prevails,
Assigning probabilities, where each outcome trails.

Throwing a fair dice, numbered one to six,
Equal chances, fair and affixed,
Each value holds a 1/6 probability share,
As uncertainty dances in the mid-air.

For an event to be, probabilities convene,
The sum of outcomes that satisfy, serene,
In the act of calculation, truth unfolds,
As events come alive, their probabilities unfold.

Oh, probability distribution, a marvelous guide,
Unraveling mysteries, on numbers you ride,
From real sets to vectors, and beyond the confines,
Your reach extends, transcending all lines.

So let us embrace, this mathematical prose,
Where randomness thrives, and certainty flows,
Probability distribution, enlighten our view,
As we navigate the realm of chance, anew.
© Cosmicbeing