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 To The Problem Comment 20 of 20 |
(In reply to puzzle solution by K Sengupta)

Alternatively, let the probability that at least one car was observed in 5 minutes.

Then the probability that one no car was observable in 20 minutes was 1-p, so that the probability that no car would be seen in 20 minutes would correspond to (1-p)^4.

Hence probability of observing at least one car is 1 - (1-p)^4

By the problem:

1 - (1-p)^4 = 609/625
Or, (1-p)^4 = 16/625
Or, 1-p = 2/5
Or, p = 3/5 = 0.6

Thus the required probability is 0.6 

  Posted by K Sengupta on 2007-04-17 11:35:26
Please log in:
Remember me:
Sign up! | Forgot password

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

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information