4.1 due on 10/15

Difficult
This reading was not as difficult as the last couple of readings. The part I had the most trouble with was the definition of a discrete random variable. At first, I thought X(w) was a probability function instead of a function mapping Omega to a countable set of real numbers. What I don't understand is why the sample space doesn't need to be countable. From the Darts example, when w is an event where the dart doesn't hit the board, then X(w) = 0. Does that mean that even though the sample space is uncountable, the only set of outcomes that matter is when the dart hits the board, which is countable?
Reflective
The concept of an indicator reminded me of what I've learned in my programming classes. It's like an indicator is a "true or false" test, with 1 being true and 0 being false.