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A license plate in Ontario is 4 letters followed by 3 numbers.  Determine the...

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A license plate in Ontario is 4 letters followed by 3 numbers.  Determine the probability that the license plate you get is Mark 001

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A license plate in Ontario has 4 letters of the alphabet followed by 3 numbers.

The letters of the alphabet can take on any of the 26 values A - Z. Each of the numbers can take on any of the 10 digits 0-9.

This gives the total number of possible license plates as 26*26*26*26*10*10*10 = `26^4*10^3` = 456976000

Of these Mark001 is one possibility.

The required probability is `1/456976000`

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