Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. physics
  3. it has been said that enough monkeys, pounding on

It has been said that enough monkeys, pounding on enough keyboards for enough time, will eventually...

70.2K

Verified Solution

Question

Physics

It has been said that enough monkeys, pounding on enoughkeyboards for enough time, will eventually produce the completeworks of William Shakespeare. Let’s examine this.

Suppose we have 10 billion galaxies, each containing 10 billionplanets populated by 10 billion immortal monkeys with extremeinsomnia. We provide each with a keyboard consisting of 26 keys (wewon’t insist on capitalization, punctuation, or even spaces). Themonkeys proceed to randomly strike 10 keys per second for the ageof the universe (10^18 s).

To improve our odds, we’ll calculate the probability that one ofour 1030 monkeys produces a text sequence that merely matchesHamlet: ~1.33 x 105 alphabetic characters.

(a) Show that the probability of any given sequence of 1.33 x10^5 characters typed at random to match the characters of Hamletis approximately (1/26)^133300 = 10^-188191

(b) Show that the probability of at least one monkey producing acopy of Hamlet in the age of the universe is approximately10^-188142

Answer & Explanation Solved by verified expert
4.2 Ratings (802 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

Water is both a powerful force and critical to an organism’s survival. Explain how this can...

Biology
1.2K views

When doing the streak plate how many times should you get bacteria from the tube...

Physics
1.2K views

P and Q are two long wires which carry 4 A current each along the...

Geometry
1.2K views

Select the correct answer Katie is playing a game using a 26 card deck that...

Basic Math
1.2K views

Solve the problem Round to the nearest dollar Suppose that at age 25 you decide...

Basic Math
1.2K views

Which of the following statements is (are) true for all positive integers?1) n3+2n is divisible...

Accounting
1.2K views

13. Jennifer wants to have her refund directly deposited into her checking account. What is...

Accounting
1.2K views

Problem 9-1A Cook Farm Supply Company manufactures and sells a pesticide called Snare. The following...

Accounting
1.2K views

Sean Matthews is a waiter at the Duluxe Lounge. In his first weekly pay in...

Accounting
1.2K views

Cooperative San Jos of southern Sonora state in Mexico makes a unique syrup using cane...

Finance
1.2K views

You are given the following information on Company A and Company B for FY15 and...

Accounting
1.2K views

1. Excavation costs for new building 2. Architect's fees on building plans 3. Full payment...