0, since letters of the alphabet do not have diseases.
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If an event occurs in n trials out of N experiments than the experimental probability of that event is n/N.
In the set of the first n integers, the number of a square number is approximately sqrt(n). So the probability of a square number is sqrt(n)/n = 1/sqrt(n). As n becomes larger this probability tends towards 0.
The answer will depend on what the disease is.
In the context of a sample of size n out of a population of N, any sample of size n has the same probability of being selected. This is equivalent to the statement that any member of the population has the same probability of being included in the sample.
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