Ok let $Q$ denote the set $\{1,2,3,\ldots,100\}$. A subset $A$ containing $k$ elements is chosen at random from where element selection is conducted without replacement and $1 \leqslant k \leqslant 100$. Then the elements of $A$ are all replaced, and a second independent subset $B$ containing $k$ elements is chosen from in the same way. Let $W$ denote the number of elements in the set $A$ or $B$. Find the outcome space for $W$ in terms of $k$, and and a formula for $P(W = i)$ for each appropriate value of $i$.
Okay, I hate asking questions on here when I have nothing figured out yet but I'm really stumped on this problem, can anyone get me started?