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      Question

      In a bag, there are 7 red balls, 5 black balls, and 9

      green balls. If two balls are selected at random, what is the likelihood of picking one red ball and one black ball?
      A 1/3 Correct Answer Incorrect Answer
      B 1/6 Correct Answer Incorrect Answer
      C 2/15 Correct Answer Incorrect Answer
      D 1/12 Correct Answer Incorrect Answer
      E 5/24 Correct Answer Incorrect Answer

      Solution

      Total number of balls in the bag = 7 + 5 + 9 = 21 Probability that a red ball and a black ball are drawn =┬а7C1┬а├Ч┬а5C1/21C2┬а= 7 ├Ч 5/210 = 1/6

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