For my probability class I was given the following problem:
"There is a dart game where each region of the dart board is given a value. Assume that the dart will always hit in the scoring region and that all possible places in the scoring region of the dart board are equally likely. Find the distribution of possible scores that you can make on a single throw, using a credible source to get the dimensions."
The way I instinctively want to solve this is to find the area of each scoring zone and use the ratio of this area to total area to set up the score distribution. Is the correct way of going about this problem or is there a better way?