A cube whose faces are colored is split into 1000 small cubes of equal size. The cubes thus obtained are mixed thoroughly. Find the probability that a cube drawn at random will have two colored faces.

A bag contains an equal number of pieces of candy for 6 candy colors. What is the probability of drawing either a yellow candy or a blue candy when drawing a single piece of candy from the bag?

At the beginning of the semester, each of the 5 students in a class selected a nickname. Unfortunately, the instructor forgot how the given names of {A, B, C, D, E} matched up to their nicknames:{a, b, c, d, e}. Determine the probability that the instructor got none of the five matches correct.

A para-glider wants to land in a field that is square shaped 400 feet on each side. However, there are four briar patches planted at each corner of the field. Each briar patch takes up a region roughly shaped like a quarter circle 40 feet in diameter. If the glider loses control and hits the field randomly, what is the probability that he misses the briar patches?