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What are the odds?

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littletent | 16:54 Fri 10th Oct 2008 | Quizzes & Puzzles
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As a child I had a bike with the alphanumeric serial AD93847. A few weeks ago I registered with a web service and was issued the registration Alphanumeric AD93847 - Identical to the bike reg. What is the probability for this happening?

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Assuming both serial numbers are restricted to two letters followed by five numerical digits, then the number of ways of constructing such a serial number is

26 X 26 x 10 X 10 X 10 X 10 X 10 = 67, 600, 000

so the odds against it happenig are 1 in 67,600,000
Unless I'm mistaken odds on winning National lottery jackpot are around 13 million to one so its like winning the lottery five times.

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