List the elements of the sample space defined by the experiment.

Toss a coin twice.

When you toss a coin twice, the sample space is the set of all possible outcomes for this experiment. Each toss has two possible outcomes: heads (H) or tails (T). Therefore, for two tosses, the sample space will include all combinations of these outcomes.

The sample space is:

\[
S = \{ (H,H), (H,T), (T,H), (T,T) \}
\]

This means:
- \( (H, H) \) represents heads on both tosses.
- \( (H, T) \) represents heads on the first toss and tails on the second toss.
- \( (T, H) \) represents tails on the first toss and heads on the second toss.
- \( (T, T) \) represents tails on both tosses.

Would you like more details or have any questions about this?

### Related Questions:
1. What is the probability of getting two heads when tossing a coin twice?
2. What is the probability of getting one head and one tail in two coin tosses?
3. How would the sample space change if the coin is tossed three times?
4. What is the probability of getting at least one tail when tossing a coin twice?
5. How many possible outcomes are there if a coin is tossed four times?

**Tip:** The size of the sample space for tossing a coin \(n\) times is \(2^n\), since each toss has two possible outcomes.

List the elements of the sample space defined by the experiment: Toss a coin twice.

Explore the sample space when tossing a coin twice. This probability problem explains all possible outcomes for two coin tosses, using the 2^n formula to list combinations of heads (H) and tails (T). Learn the fundamental principle of counting and how to calculate the size of the sample space. Suitable for Grades 6-8.

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