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      Question

      A bag contains 8 yellow balls, 7 orange balls, and 3

      blue balls. Two balls are drawn at random. Find the probability that the two balls are yellow.
      A 8/51 Correct Answer Incorrect Answer
      B 22/153 Correct Answer Incorrect Answer
      C 26/153 Correct Answer Incorrect Answer
      D 28/153 Correct Answer Incorrect Answer

      Solution

      Number of ways of selecting two yellow balls = 8 Cβ‚‚
      Total number of balls = 8 + 7 + 3 = 18
      Number of ways of selecting two balls = 18 Cβ‚‚
      Probability = 8 Cβ‚‚ Γ· 18 Cβ‚‚ = (8 Γ— 7) Γ· (18 Γ— 17) = 56 Γ· 306 = 28/153

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