List the sample space for flipping a two-sided coin two times.

Answer 1

The sample space for flipping a two-sided coin two times consists of all the possible outcomes of the two flips. Each flip can result in either Heads (H) or Tails (T).

Here are the possible outcomes:

1. HH (Heads on the first flip and Heads on the second flip)
2. HT (Heads on the first flip and Tails on the second flip)
3. TH (Tails on the first flip and Heads on the second flip)
4. TT (Tails on the first flip and Tails on the second flip)

Thus, the sample space can be represented as:

\[ S = {HH, HT, TH, TT} \]