SOLUTION: A 3-character key code is randomly generated by a computer using the 26 letters of the alphabet and the 10 digits 0-9. The letters and numbers can be used more than once. What is t

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Question 938171: A 3-character key code is randomly generated by a computer using the 26 letters of the alphabet and the 10 digits 0-9. The letters and numbers can be used more than once. What is the probability that the 3 characters in a key code, listed as they are randomly generated, will spell the word "ADD"?
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A 3-character key code is randomly generated by a computer using the 26 letters of the alphabet and the 10 digits 0-9. The letters and numbers can be used more than once. What is the probability that the 3 characters in a key code, listed as they are randomly generated, will spell the word "ADD"?
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# of ways to succeed:: 1*1*1 = 1
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# of possible triples:: 36*36*36
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Ans:: 1/36^3 = 2.143..x10^-5 = 0.00002143...
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
36 characters: 26L, 10N
P(ADD) = %2826C1%29%2825C1%29%2825C1%29%2F%2836C3%29