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GRE Probability: Practice Question of the Week #33

Here’s this week’s practice question– regular multiple choice, just one correct answer. We’ll be posting the answer and explanation tomorrow, good luck!

If points A and B are randomly placed on the circumference of a circle with radius 2, what is the probability that the length of chord AB is greater than 2?

  1. 1/4
  2. 1/3
  3. 1/2
  4. 2/3
  5. 3/4
Update: Here’s the answer/explanation post!

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4 Responses to GRE Probability: Practice Question of the Week #33

  1. MOHIT SONI September 6, 2013 at 7:01 am #

    it’s 2/3, as we have to deal in degree and properties of equilateral triangle …

  2. shiva September 4, 2013 at 7:33 am #


  3. josh January 10, 2012 at 5:59 am #

    It’s gotta be D. That was a tricky one

  4. Rubaet January 9, 2012 at 8:44 pm #

    Answer choice is D. 2/3

    Only 60 degrees at center covers chord less than radius.
    So 2*60=120 degrees on both side on a fixed radius. And rest 240 degrees will be meet
    the criteria.

    probability that the length of chord AB is greater than 2 will be 240/360 or 2/3

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