A 14 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Answers:
A) 5/14  B) 3/14  C) 8/21  D) 6/7  E) 2/5
A square with an area of 4 has a perimeter of 8.   For the area to be &gt;4, the longer piece must be &gt;8.   The wire must be cut within 6 meters from either end.   The probability of this is 12/14 = 6/7.   The answer is 6/7.
<result>D</result>
A 14 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?