If a real number x is chosen at random in the interval [0,5] and a real number y is chosen at random in the interval [0,7], what is the probability that x < y?
Choose the correct choice from the following answers
A) 5/7	B) 2/3	C) 9/14	D) 4/5	E) 7/8
Since x is in [0,5] and y is in [0,7] we can draw a rectangle in the coordinate plane with vertices (0, 0), (5, 0), (0, 7), and (5, 7).   The points above the line y=x satisfy x &lt; y.   The part of the rectangle below y=x has an area of 12.5   The whole rectangle has an area of 35.   P(x &lt; y) = (35-12.5)/35 = 22.5/35 = 45/70 = 9/14   The answer is 9/14.
<result>C</result>
If a real number x is chosen at random in the interval [0,5] and a real number y is chosen at random in the interval [0,7], what is the probability that x < y?