Catan, Math, Probability, Statistics.
if X₁ is 1, the vector will look like [1,0,0,0,0,0,0,0,0,0,0], and it means that the result of the dice roll was a 1+1 = 2. If we have X₂ as 1, the vector looks like [0,1,0,0,0,0,0,0,0,0,0], and it means that the dice roll showed 2+1 = 3. And so on… Now, let’s talk Expected values. Intuitively