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A laboratory technician is to be tested on identifying blood types from 13 standard classifications. Complete parts (A) and (B) below. (A) If 3 distinct

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A laboratory technician is to be tested on identifying blood types from 13 standard classifications. Complete parts (A) and (B) below. (A) If 3 distinct samples are chosen at random from the 13 types and if the technician is not allowed to repeat any answers, what is the probability that all 3 could be correctly identified by just guessing? Let the sample space S be the set of ways that the 3 distinct samples can be chosen from the 13 standard classifications. The number of elements in the sample space S is n(S) =]. (Type a whole number.) The probability is (Type an integer or a simplified fraction.) (B) If repeats are allowed in the 3 blood types chosen at random from the 13 and if the technician is allowed to repeat answers, what is the probability that all 3 are identified correctly by just guessing? The probability is (Type an integer or a simplified fraction.)

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