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JEE Main201911 Jan 2019Morning ShiftMathematicsProbabilityActual

Two integers are selected at random from the set 1,2, , 11 . Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is :

Options

  1. A7 10
  2. B1 2
  3. C2 5
  4. D3 5

Correct answer

C. 2 5

Step-by-step solution

Probability of getting sum of selected two numbers is even =P (E₁ )= 5 2 + 5 2 11 2 Probability of getting sum is even and selected numbers are also even P (E₂ )= 5 2 11 2 Hence, P ( E₂ E₁ )= 5 2 6 2 + 5 2 = 10 15+10 = 2 5 .

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