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GRE Probability: Practice Question of the Week #33

By on January 9, 2012 in Combinations and Permutations, Geometry, Math Concepts, Math Multiple Choice, Math Question Types, Practice Question of the Week

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!

About the Author

Margarette Jung graduated from UC Berkeley as a double major in English Literature and Linguistics. She has been teaching for large companies and tutoring privately for more than 5 years.

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

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

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

    Reply
  2. 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

    Reply


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