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A bag contains four tickets marked with numbers 112,121,211,222 . One ticket is drawn at random from the bag. Let E_i(i=1,2,3) denote the event that i^ th digit on the ticket is 2 . Then

Options

  1. AE ₁ and E ₂ are independent
  2. BE₂ and E₃ are independent
  3. CE_y and E₁ are independent
  4. DE₁ E₂ and E₃ are independent

Correct answer

C. E_y and E₁ are independent

Step-by-step solution

We have P (E_i )= 1 2 for i =1,2,3 aligned & For i j, P (E_i E_j ) & = 1 4 =P (E_j ) P (E_j ) & Also, P (E₁ E₂ E₃ ) & = 1 4 P (E₁ ) P (E₂ ) P (E₃ ) & E₁, E₂, E₃ are not independent aligned

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