SOLUTION: What is the probability that my brother and my professor have the same first and middle names and same first letter of their last name?

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Question 1018083: What is the probability that my brother and my professor have the same first and middle names and same first letter of their last name?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First and middle name probabilities are difficult because you need to have a measure of the number of each.
There are probably millions of them.
So let's assume there are a million first names and a million middle names.
The probability of them having the same first name is 1 in one million.
P%5Bf%5D=1%2F1000000
Same for middle name.
P%5Bm%5D=1%2F1000000
The probability of having the same first letter of the last name is easier since there are 26 of them.
P%5Bl%5D=1%2F26
So then putting it all together, the probability of all three is,
P=%281%2F1000000%29%281%2F1000000%29%281%2F26%29
P=3.85x10%5E%28-14%29