All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
2,000,000 Coin Tosses (Posted on 2003-03-03) Difficulty: 2 of 5
If a coin is tossed 2,000,000 times, what is the probability that it will come up exactly 1,000,000 times each heads and tails?

See The Solution Submitted by Charlie    
Rating: 3.0000 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Basic idea | Comment 4 of 10 |
If we make the assumption that every coin flip has a 50/50 chance of landing head or tails. If every coin has an equal chance of having both outcomes occur then that means every coin combination has an equal chance of occuring. So, because there are 2 000 000 flips and only 1 of 2 outcomes can occur each time then this gives us 2^2,000,000 possiblilities. Since each of these have an equal chance of happening then that means 1,000,000 heads and 1,000,000 tails is just as likely as 2,000,000 heads. So we take the number 2^2,000,000(which according to many online calculators is infinity) and then you take 2^2,000,000√100 and that will give you the percent chance
  Posted by Alan on 2003-03-07 11:14:45
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information