In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate? Choose the correct choice.
A) 7/12	B) 5/12	C) 3/8	D) 1/3	E) 1/4
Now, rectangle R has an area of  3*4= 
<gadget id="calculator"> 3*4</gadget>
<output>12</output>
12. All point that has y-coordinate greater than x-coordinate lie above the line y=xy=x, so in yellow triangle, which has an area of 1/2*3*3=4.5. So, the probability equals to favorable outcomes/total=yellow triangle/rectangle R=4.5/12=3/8.   Answer: 3/8.
<result>C</result>
In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?