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Most Important Selected Qs for JEE AdvancedMathematicsProbability

An urn contains fair tickets with numbers 112,121,211,222 and one ticket is drawn. Let A_i(i=1,2,3) be the event that the ith digit of the number of ticket drawn is 1 then

Options

  1. AP (A₁ )=P (A₂ )=P (A₃ )= 1 2
  2. BP (A₁ A₂ )=P (A₁ ) P (A₂ )
  3. CA₁, A₂, A₃ are pair wise independent events
  4. DP (A₁ A₂ A₃ ) P (A₁ ) p (A₂ ) P (A₃ )

Correct answer

D. P (A₁ A₂ A₃ ) P (A₁ ) p (A₂ ) P (A₃ )

Step-by-step solution

P ( A ₁ ~A ₂ )= 1 4 , P ( A ₁ )= 2 4 P ( A ₂ )= 1 2 . Thus P ( A ₁ ~A ₂ )= P ( A ₁ ) P ( A ₂ )

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