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      Question

      If two pencils are picked at random, what is the

      probability that either both are green or both are yellow?  A box contains 6 red, 4 blue, 2 green and 4 yellow pencils. 
      A 6/155 Correct Answer Incorrect Answer
      B 5/123 Correct Answer Incorrect Answer
      C 7/120 Correct Answer Incorrect Answer
      D 9/145 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      Total number of pencils = 6 + 4 + 2 + 4 = 16 Let S be the sample space. Then, n(S) = number of ways of drawing 2 pencils out of  16 = 16C2 = (16x15)/(2x1)   = 120 Let E= event of drawing 2 pencils so that that either both are green or both are yellow = n(E) = 2C2 + 4C2 = 1+6 =7  P (E) = 

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