document.write( "Question 1174816: Find the sample space S and the corresponding size n(S) for each of the random experiments
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\n" ); document.write( "Find the sample space S and the corresponding size n(S) for each of the random experiments
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document.write( "This problem deserves more accurate and detailed explanation.\r\n" );
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document.write( "A sample space is the list of all possible otcomes with associated probability values for each outcome.\r\n" );
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document.write( "The given word consists of 11 letters; there are two repeating letters \"M\", two repeating letters \"T\",\r\n" );
document.write( "two repeating letters \"A\", and the rest 5 letters are unique.\r\n" );
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document.write( "So, the list of all possible outcomes consists of 3 + 5 = 8 = 11 - 3  letters, but different letters go \r\n" );
document.write( "with different associated probabilities.\r\n" );
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document.write( "The unique letters  H, E, I, C, S have the probability    each.\r\n" );
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document.write( "The repeating letters M, T, and A go with the probability   each.\r\n" );
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document.write( "Therefore, the sample space is the list of 8 letter (without repeating), listed below with associated \r\n" );
document.write( "probabilities\r\n" );
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document.write( "                             M     A    T    H     E    I    C    S\r\n" );
document.write( "    the space of events =   \r\n" );
document.write( "                                          .\r\n" );
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