What is the probability of my scoring either 1 or 2 on either one, or both, of my first two dice rolls?
P(1 or 2) on a given roll = 1/6 + 1/6 = 1/3
But now we can't just say that the answer is 2/3 because you can't add up mutually independent probs like that, only exclusive ones. So how do we get it?
Binomial - so X-B(2,1/3) and find P(X=1)? But that would find the probability of scoring 1 or 2 on 1 roll alone out of the 2 - where is the probability of scoring 1 or 2 on both?