3 Nov 2011
Quote: Monkeys Typing Poetry
Let us imagine a special typewriter, ‘user-friendly’ to apes, with 50 keys, comprised of 26 capital letters, 10 numbers, one space bar, and 13 symbols for punctuation, etc. For the sake of simplicity we shall disregard lower-case letters and settle for typing all to be in capitals, and we shall disregard leap years.
How long would it take an operator, on the average, to correctly type the 23rd Psalm, by randomly striking keys? To obtain the answer, let us first consider the first verse of the Psalm, which reads: ‘THE LORD IS MY SHEPHERD, I SHALL NOT WANT.’
According to the Multiplication Rule of the Probability (in simplified form) the chance of correctly typing the three designated letters ‘THE’ from possibilities is 1 in 50 x 50 x 50, which equals 125,000. At a rate of one strike per second, the average time taken to make 125,000 strikes is 34.72 hours.
The chance of randomly typing the eight keys (seven letters and one space) in the right sequence for the two words THE LORD is 1 in 50 x 50 … eight times (i.e. 50^8). This is 1 chance in 39,062 billion. There are 31,536,000 seconds in a year, so the average time taken in years to make 39,062 billion strikes at the rate of one strike per second would be 1,238,663.7 years.
The time taken on the average to correctly type the whole of verse 1 of the 23rd Psalm, which contains 42 letters, punctuation, and spaces, would be 50^42 divided by 31,536,000 (seconds in a year), which is 7.2 x 10^63 years.
And the time taken on the average to correctly type the whole of the 23rd Psalm, made up of 603 letters, verse numbers, punctuation, and spaces, would be 50^603 divided by 31,536,000 which is 9.552 x 10^1016 years. 4 If the letter ‘b’ stands for billion (10^9), this could be written as about one bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb years.
By comparison, the evolutionists’ age of the Earth is (only) 4.6 billion years, and the evolutionists’ age of the universe is (only) almost 15 billion years.
–Russell Grigg