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      Question

      A bag contains 6 balls of which 3 are red and 3 are

      black. They are drawn successively without replacement. What is the probability that colors are alternate?
      A 1/10 Correct Answer Incorrect Answer
      B 1/20 Correct Answer Incorrect Answer
      C 1/5 Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      We can choose balls as black, red or red black alternately, Required probability = 2 Γ— (3/6 Γ— 3/5 Γ— 2/4 Γ— 2/3 Γ— 1/2 Γ— 1) = 1/10

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