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Manipal MET2012MathematicsProbability

A man and a woman appears in an interview for two vacancies in the same post. The probability of man's selection is 1 4 and that of the woman's selection is 1 3 . What is the probability that none of them will be selected?

Options

  1. A1 2
  2. B1 12
  3. C1 4
  4. DNone of these

Correct answer

A. 1 2

Step-by-step solution

Let E₁ be the events that man will be selected and E₂ the events that woman will be selected. Then, P (E₁ )= 1 4 array ll So, & P ( E ₁ )=1- 1 4 = 3 4 and & P (E₂ )= 1 3 & P ( E ₂ )= 2 3 array E₁ and E₂ are independent events. aligned P ( E ₁ E ₂ ) & =P ( E ₁ ) P ( E ₂ ) & = 3 4 2 3 = 1 2 aligned

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