1. The problem asks for the possible values of the random variable $T$, which represents the number of tails when two coins are tossed. 2. When tossing two coins, each coin can be either Head (H) or Tail (T). The possible outcomes are: HH, HT, TH, TT. 3. Count the number of tails in each outcome: - HH has 0 tails - HT has 1 tail - TH has 1 tail - TT has 2 tails 4. Therefore, the values of $T$ are $\{0, 1, 2\}$. This completes the solution for the first question.