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      Question

      A university has to select an examiner from a list of 50

      persons. Out of these 50 persons, 20 are women and 30 are men. 10 persons know hindi and 40 do not, 15 of them are teachers and 35 are not. What is the probability that the university selects hindi knowing women teacher?
      A 3/127 Correct Answer Incorrect Answer
      B 3/126 Correct Answer Incorrect Answer
      C 3/125 Correct Answer Incorrect Answer
      D 3/124 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Probability of selecting a teacher= P(T)= 15/50=3/10.
      Probability of selecting a women= P(W)=20/50=2/5.
      Probability of selecting a Hindi knowing candidate = P(H)= 10/50=1/5.
      Req. probability=P(T)P(W)P(H)=(3/10)(2/5)(1/5)= 3/125.

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