Consider the experiment of tossing a fair two-sided coin, noting the side landing up, and then spinning a spinner with 3 equal regions (red, blue, green), noting the color.  State the sample space for this experiment.  Assume heads = H, tails = T, red = R, blue = B, and green = G.

The sample space for this experiment includes all possible outcomes of tossing the coin and spinning the spinner. Since the coin has two possible outcomes (heads \( H \) or tails \( T \)), and the spinner has three possible outcomes (red \( R \), blue \( B \), or green \( G \)), the total number of outcomes is the product of these possibilities.

Thus, the sample space \( S \) is:

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

This represents all possible combinations of outcomes from the coin toss and spinner spin.

Would you like more details or have any questions?

### Relative Questions:
1. How many outcomes are possible if the spinner had 4 colors instead of 3?
2. What is the probability of getting heads and red in this experiment?
3. If the coin was biased, how would this affect the sample space or probabilities?
4. How would you modify the sample space if the spinner had unevenly sized regions?
5. What are the chances of getting either heads or green in a single trial?

**Tip**: When constructing a sample space, think of it as listing all the possible combinations of outcomes from different events.

Consider the experiment of tossing a fair two-sided coin, noting the side landing up, and then spinning a spinner with 3 equal regions (red, blue, green), noting the color. State the sample space for this experiment. Assume heads = H, tails = T, red = R, blue = B, and green = G.

Learn how to determine the sample space for an experiment involving a fair coin toss and a 3-color spinner with regions red, blue, and green. Understand the possible outcomes and how they form a total of 6 combinations. This problem is suitable for students in Grades 6-8, covering basic probability concepts.

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