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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?

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    Do you mean that $W$ is the number of elements in the union $A\cup B$, so that $k\le W\le 2k$?2012-04-03

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