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JEE Main20241 Feb 2024Evening ShiftMathematicsProbabilityActual

Let Ajay will not appear in JEE exam with probability p = 2 7 , while both Ajay and Vijay will appear in the exam with probability q = 1 5 . Then the probability, that Ajay will appear in the exam and Vijay will not appear is:

Options

  1. A9 35
  2. B18 35
  3. C24 35
  4. D3 35

Correct answer

B. 18 35

Step-by-step solution

The probability that Ajay will not appear in exam is, P A ' = p = 2 7 . ⇒ P A = 5 7 The probability that Ajay and Vijay will appear in exam is, P A ∩ V = q = 1 5 . ⇒ P A × P V = 1 5 ⇒ P V = 1 5 × 7 5 ⇒ P V = 7 25 The probability that Ajay will appear and Vijay will not appear in the exam is, ⇒ P A ∩ V ' = 5 7 × 18 25 ⇒ P A ∩ V ' = 18 35

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