In the x- y plane, there are 4 points (0,0), (0,4), (8,4), and (8,0). If these 4 points makes a rectangle, what is the probability that x+y<4?  Choose the correct option:	A) 1/2	B) 1/3	C) 2/3	D) 1/4	E) 2/5
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 32.   P(x+y&lt;4) = 8/32 = 1/4   The answer is 1/4.
<result>D</result>
In the x- y plane, there are 4 points (0,0), (0,4), (8,4), and (8,0). If these 4 points makes a rectangle, what is the probability that x+y<4?