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Find the sample space S and the corresponding size n(S) for each of the random experiments
Select a letter from the word MATHEMATICS at random
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This problem deserves more accurate and detailed explanation.
A sample space is the list of all possible otcomes with associated probability values for each outcome.
The given word consists of 11 letters; there are two repeating letters "M", two repeating letters "T",
two repeating letters "A", and the rest 5 letters are unique.
So, the list of all possible outcomes consists of 3 + 5 = 8 = 11 - 3 letters, but different letters go
with different associated probabilities.
The unique letters H, E, I, C, S have the probability each.
The repeating letters M, T, and A go with the probability each.
Therefore, the sample space is the list of 8 letter (without repeating), listed below with associated
probabilities
M A T H E I C S
the space of events =
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Solved.