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      Question

      A bag contains 7 white balls, 5 black balls, and 4

      orange balls. Two balls are drawn at random. Find the probability that the two balls are white.
      A 7/17 Correct Answer Incorrect Answer
      B 1/4 Correct Answer Incorrect Answer
      C 7/20 Correct Answer Incorrect Answer
      D 3/8 Correct Answer Incorrect Answer

      Solution

      Number of ways of selecting two white balls = 7 Cβ‚‚
      Total number of balls = 7 + 5 + 4 = 16
      Number of ways of selecting two balls = 16 Cβ‚‚
      Probability = 7 Cβ‚‚ Γ· 16 Cβ‚‚ = (7 Γ— 6) Γ· (16 Γ— 15) = 42 Γ· 240 = 7/20

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