In the x- y plane, there are 4 points (0,0), (0,4), (4,4), and (4,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
Choose the correct choice from the following choices
A) 1/2 B) 1/3 C) 1/4 D) 1/5 E) 1/6
If x+y&lt;4, then y&lt;-x+4.   The line y=-x+4 intersects the rectangle and these three points of intersection (0,0), (0,4) and (4,0) form a triangle.   The points below the line y=-x+4 satisfy x+y&lt;4.   The area of this triangle is (1/2)(4)(4)=8   The area of the rectangle is 16.   P(x+y&lt;4) = 8/16 = 1/2   The answer is 1/2.
<result>A</result>
In the x- y plane, there are 4 points (0,0), (0,4), (4,4), and (4,0). If these 4 points makes a rectangle, what is the probability that x+y<4?