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      Question

      A bag contains 6 yellow balls, 8 purple balls, and 4 black

      balls. Two balls are drawn at random. Find the probability that the two balls are purple.
      A 14/153 Correct Answer Incorrect Answer
      B 28/153 Correct Answer Incorrect Answer
      C 32/153 Correct Answer Incorrect Answer
      D 8/51 Correct Answer Incorrect Answer
      E 2/17 Correct Answer Incorrect Answer

      Solution

      Number of ways of selecting two purple balls = 8 CтВВ
      Total number of balls = 6 + 8 + 4 = 18
      Number of ways of selecting two balls = 18 CтВВ
      Probability = 8 CтВВ ├╖ 18 CтВВ = (8 ├Ч 7) ├╖ (18 ├Ч 17) = 56 ├╖ 306 = 28/153

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