SOLUTION: What's the probability of identical strings occurring if you create a string with two random letters, followed by four random numbers? Thanks,

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Question 904487: What's the probability of identical strings occurring if you create a string with two random letters, followed by four random numbers?
Thanks,

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
there are 26 letters in the alphabet and 10 numbers for each digit.

the number of possible combinations is equal to 26^2 * 10^4 assuming you can reuse the same letter and reuse the same number.

example:

CC4444 is a valid combination.

you generate your first string and any combination will be valid.

now you generate your second string.

only 1 out of the 26^2 * 10^4 possible combinations will match it, therefore the probability is 1 / (26^2 * 10^4).

if you multiply that out, you get a probability of 1 / 6,760,000.