A 10 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?  Options:
A) 1/6  B) 1/5  C) 3/10  D) 1/3  E) 4/10
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 2 meters from either end.   The probability of this is 4/10 = 2/5.   The answer is 4/10.
<result>E</result>
A 10 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?