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TS EAMCET · Maths · Probability

In a certain college, \(4 \%\) of men and \(1 \%\) of women are taller than \(1.8 \mathrm{~m}\). Also, \(60 \%\) of students are women. If a student selected at random is found to be taller than \(1.8 \mathrm{~m}\), then the probability that the student being a woman is

  1. A \(3 / 11\)
  2. B \(5 / 11\)
  3. C \(6 / 11\)
  4. D \(8 / 11\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3 / 11\)

Step-by-step Solution

Detailed explanation

Let \(E_1, E_2\) and \(A\) be the events defined as follows: \(E_1=\) Selected student is a woman \(E_2=\) Selected student is a man \(A=\) Student is taller than \(1.8 \mathrm{~m}\) We have,…