If a real number x is chosen at random in the interval [0,4] and a real number y is chosen at random in the interval [0,6], what is the probability that x < y?  Choose the correct choice from the following answers:  A) 2/5  B) 3/5  C) 2/3  D) 3/10  E) 7/10
Since x is in [0,4] and y is in [0,6] we can draw a rectangle in the coordinate plane with vertices (0, 0), (4, 0), (0, 6), and (4, 6).   The points above the line y=x satisfy x &lt; y.   The part of the rectangle below y=x has an area of 8.   The whole rectangle has an area of 24.   P(x &lt; y) = (24-8)/24 = 16/24 = 2/3   The answer is 2/3.
<result>C</result>
If a real number x is chosen at random in the interval [0,4] and a real number y is chosen at random in the interval [0,6], what is the probability that x < y?