No—not in any realistic finite sense. The infinite monkey theorem says that random typists would almost surely produce any fixed, finite text if they had unlimited independent attempts. It does not say they are likely to finish Shakespeare before the universe ends. A 2024 analysis concludes that non-trivial Shakespeare-length text is effectively out of reach within its modeled cosmic horizon.
What the infinite monkey theorem actually says
Imagine a typist choosing each key independently at random from a finite keyboard. Any particular finite string—say, a line from Hamlet—has a nonzero chance of appearing in a sequence of keypresses. With unlimited independent attempts, the chance that the string has never appeared tends toward zero. This is an infinite-limit result, connected by the 2024 analysis to the Borel–Cantelli lemma; it is not a timetable for success. Woodcock and Falletta’s 2024 paper
The distinction is simple but decisive: “almost surely, given infinitely many trials” does not mean “probably within any particular finite span of time.” To assess the real-world version, one must specify the number of typists, their speed, the keyboard and the time available.
What the 2024 finite-resource calculation assumes
Stephen Woodcock and Jay Falletta’s peer-reviewed 2024 analysis models a finite population and a finite horizon. Its illustrative inputs are assumptions for calculation, not measurements of actual chimpanzee typing or a definitive forecast of the universe’s end.
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| Model input | Assumption |
|---|---|
| Keys | 30 equally likely keys |
| Typing rate | One keypress per second, continuously |
| Working lifetime | About 109 seconds per chimpanzee, just over 30 years |
| Population | A constant population of about 200,000 chimpanzees |
| Modeled horizon | 10100 years, used as an assumed heat-death horizon |
| Implied working lifetimes | Roughly 6.4 × 10103 under those assumptions |
Even with those enormous resources, the authors conclude that non-trivial text remains orders of magnitude beyond reach: within their model, it is almost certain not to be produced during the assumed horizon. That is a conditional probability conclusion, not a proof of logical impossibility. The 10100-year horizon is a model input; the paper does not establish it as the universe’s authoritative end date. Woodcock and Falletta, 2024
Why a virtual million-monkey project is different
Jesse Anderson’s 2011 account describes a virtual project that reportedly took about a month and a half. One million simulated processes generated random groups of nine characters, checked those groups against Shakespeare’s works, and retained successful matches until every portion of the corpus was covered. Anderson’s account in Significance
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That is cumulative selection: successful fragments are saved and combined. It is not one random typist producing a complete play independently, in order, from beginning to end. Retaining matches changes the problem because the successful guesses are not discarded after each attempt.
Anderson also gives a deliberately simplified illustration for Hamlet: about 130,000 letters, ignoring punctuation, spaces, capitals and apostrophes. In a 26-letter model, the chance of a correct first-try full play is 1 in 26130,000, or about 1 in 3.4 × 10183,946. Those are Anderson’s illustrative assumptions, not the 2024 paper’s 30-key calculation or an exact probability for every edition of the play. Anderson, 2011
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So, could monkeys type Shakespeare before the universe ends?
The answer depends on which claim is meant. Under the theorem’s idealization of unlimited independent trials, a fixed finite text appears almost surely in the infinite limit. Under Woodcock and Falletta’s specified finite-resource model, Shakespeare-length random typing is effectively out of reach within the assumed horizon. A project that saves and combines successful fragments can produce a different outcome, but it is not the theorem’s end-to-end random-typing scenario.
Independent reader supportYour contribution helps us test, update, and keep practical guides available for everyone.Where did the theorem come from?
The origin of the familiar formulation is uncertain. Woodcock and Falletta say it is commonly attributed to Émile Borel or Thomas Henry Huxley, while some accounts trace an earlier version of the underlying idea to Aristotle. Anderson traces a million-monkey formulation to Borel’s 1913 discussion of thermodynamics. These are attributions of related formulations, not grounds for naming one uncontested inventor. Woodcock and Falletta, 2024 Anderson, 2011
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