1. **Problem:** Two balls are drawn in succession without replacement from a box containing 5 red balls and 6 blue balls. Let $Z$ be the random variable representing the number of blue balls drawn. Find the possible values of $Z$. 2. **Understanding the problem:** Since two balls are drawn, the number of blue balls $Z$ can be 0, 1, or 2. 3. **Explanation:** - $Z=0$ means no blue balls are drawn (both balls are red). - $Z=1$ means exactly one blue ball is drawn. - $Z=2$ means both balls drawn are blue. 4. **Therefore, the values of the random variable $Z$ are:** $$Z \in \{0,1,2\}$$ This completes the solution for the first problem. (Note: Although there are other problems listed, per instructions, only the first problem is solved here.)