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Updated on: 13 Aug 2003, 08:14
Originally posted by AkamaiBrah on 12 Aug 2003, 07:45.
Last edited by AkamaiBrah on 13 Aug 2003, 08:14, edited 1 time in total.
Last edited by AkamaiBrah on 13 Aug 2003, 08:14, edited 1 time in total.
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Imagine a parking lot with 999 cars with license plates numbered from 001 to 999 and no two cars having the same license plate number. At 5pm, they all leave the lot one by one. What is the probability that the license plate numbers of the first four cars to leave are in increasing order of magintude?
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12 Aug 2003, 07:58
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AkamaiBrah
Imagine a parking lot with 999 cars with license plates numbered from 001 to 999 and no two cars having the same license plate number. At 5pm, they all leave the lot one by one. What is the probability that the license plate numbers of the first four cars to leave are in increasing order of magintude?
The # of the first car can be anywhere, but the AVERAGE of all of the places it could be is right in the middle, so the average chances of the second car being greater than this value is 1/2.
Now the third car has to be above the second, and the chance of this is 1/4. And finally, the fourth must be still above that so 1/8.
1/2 * 1/4 * 1/8 = 1/64
