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

Home > Probability
Cars on the road (Posted on 2004-04-09) Difficulty: 2 of 5
If the probability of observing a car (read: at least one car) in 20 minutes on a highway is 609/625, what is the probability of observing a car (read: at least one) in 5 minutes (assuming constant default probability)?

See The Solution Submitted by SilverKnight    
Rating: 2.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 9 of 20 |

The probability of seeing atleast one car in 20 minutes is 609/625

So the probability of seeing no cars in 20 minutes is 1 - 609/625 = 16/625

Assuming x to be the probability of seeing no cars in 5 minutes and with constant default probability, the changes of seeing no cars in 20 minutes are x^4.

So, x^4  = 16/625 or, x = 2/5

And the probability of seeing atleast one car in 5 minutes is 3/5


  Posted by Rajat on 2004-04-09 15:37:15
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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information