Question 1175707
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This problem formulation is  INCORRECT,  INCONSISTENT  and  CONFUSING.


As the question is printed,   "What is the probability that the first one is a man and followed by a woman?"



But in this problem  NO  ONE  is the  "first",  and equally,  no one is the  "second".



A correct question should be  "What is the probability that one of the two selected persons is a man and the other is a woman?"



In this forum,  I regularly see  (every day several times)  incorrectly formulated problems and questions.