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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)

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Solution puzzle solution | Comment 19 of 20 |

Let p denote the probability of observing no cars in 5 minutes.

Then p^4 = 1 - 609/625 = 16/625
Or, p= 2/5

Consequently, the probability of observing at least one car in 5 minutes = 1-p = 3/5

Edited on April 17, 2007, 11:35 am
  Posted by K Sengupta on 2007-04-17 11:29:00

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