A 12 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?
Choose one: A) 1/6 B) 2/3 C) 3/10 D) 1/3 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 4 meters from either end.   The probability of this is 8/12 = 2/3.   The answer is 2/3.
<result>B</result>
A 12 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?