  This article explores the theoretical and computational aspects of the
Infinite Monkey Theorem, investigating the number of attempts and the time
required for a set of pseudorandom characters to assemble and recite Hamlets
iconic phrase, To be, or not to be, that is the Question. Drawing inspiration
from Emile Borels original concept (1913), the study delves into the practical
implications of pseudorandomness using Python. Employing Python simulations to
generate excerpts from Hamlet, the research navigates historical perspectives
and bridges early theoretical foundations with contemporary computational
approaches. A set of tests reveals the attempts and time required to generate
incremental parts of the target phrase. Utilizing these results, growth factors
are calculated, projecting estimated attempts and time for each text part. The
findings indicate an astronomical challenge to generate the entire phrase,
requiring approximately 2.68x10e69 attempts and 2.95x10e66 seconds - equivalent
to 8.18x10e62 hours or 9.32x10e55 years. This temporal scale, exceeding the age
of the universe by 6.75x10e45 times, underscores the immense complexity and
improbability of random literary creation. The article concludes with
reflections on the mathematical intricacies and statistical feasibility within
the context of the Infinite Monkey Theorem, emphasizing the theoretical musings
surrounding infinite time and the profound limitations inherent in such
endeavors. And that only infinity could write Hamlet randomly.
