Correct option is B
The correct answer is (b).
Introduction
In probability theory, an event that is logically or practically impossible to occur is assigned a probability of zero.
Typing an entire manuscript without a single mistake requires specific skill, intent, and structured knowledge.
For an individual who does not know how to type, producing an error-free book manuscript randomly is considered an impossible event.
- Probability is quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates absolute certainty.
- This problem illustrates the concept of an "impossible event" in classical probability applications.
- Typing a manuscript involves thousands of keystrokes forming structured, meaningful syntax and grammar.
- The Infinite Monkey Theorem states that a monkey hitting keys at random for an infinite amount of time will almost surely type a specific text, but the probability over a finite timeline is practically zero.
- Given the constraints of reality, a human striking keys without knowing typing mechanics guarantees massive errors.
- Therefore, the chance of a perfectly correct outcome under these conditions is rigorously evaluated as zero.
- Option A (1): A probability of 1 represents an absolutely certain event. A person who doesn't know typing is definitely not guaranteed to type flawlessly.
- Option C (3/4): This fraction implies a 75% chance of success, which is absurdly high for an entirely random, unskilled attempt at a complex task.
- Option D (2/3): This indicates a roughly 66.6% chance of success, which again falsely assumes the unskilled typist has a high likelihood of random perfection.