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?
Choose the correct choice from the following.
A) 2/3
B) 3/4
C) 1/5
D) 2/5
E) 3/5
The longer wire will form a square with an area more than 4 if the wire is cut at a point within two meters of either end. The probability of this is 4/10 = 2/5.   The answer is 2/5.
<result>D</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?