8 points are spaced around at intervals of one unit around a 2 x 2 square as shown. If 2 of the 8 points are chosen at random, what is the probability that they are more than one unit apart?
I may be wrong here, as Probability is not my strongest subject, but it seems to me that the solution should be quite simple. Let's say you pick any random point. You will notice that only 2 other points are 1 unit away... all the others are farther. So, assuming that you can't pick the same point twice, you have 7 options for picking another point, and as 2 are not going to work, the answer is 5/7.
Let me know if I did anything wrong!