Answer :
Let's break down the process of determining the possible outcomes from flipping a coin twice and spinning a spinner with three sections labeled red, yellow, and blue:
1. Flipping a Coin Twice:
- When you flip a coin, there are two possible outcomes: Heads (H) or Tails (T).
- Flipping the coin twice results in combinations of these outcomes. Here are the possible outcomes:
- HH (Heads, then Heads)
- HT (Heads, then Tails)
- TH (Tails, then Heads)
- TT (Tails, then Tails)
2. Spinning the Spinner:
- The spinner has three sections labeled with colors: red (r), yellow (y), and blue (b).
3. Combining Outcomes:
- Each of the four outcomes from flipping the coin can be combined with each of the three outcomes from spinning the spinner.
- This means we need to pair each coin outcome with each spinner outcome.
4. Listing All Possible Combinations:
- The combinations of the coin flips and spinner colors are:
- HH combined with r, y, and b → HHr, HHy, HHb
- HT combined with r, y, and b → HTr, HTy, HTb
- TH combined with r, y, and b → THr, THy, THb
- TT combined with r, y, and b → TTr, TTy, TTb
Therefore, the complete list of possible outcomes when flipping a coin twice and spinning a spinner with three sections labeled red, yellow, and blue is:
```
['HHr', 'HHy', 'HHb', 'HTr', 'HTy', 'HTb', 'THr', 'THy', 'THb', 'TTr', 'TTy', 'TTb']
```
The correct answer is exactly these 12 outcomes.
1. Flipping a Coin Twice:
- When you flip a coin, there are two possible outcomes: Heads (H) or Tails (T).
- Flipping the coin twice results in combinations of these outcomes. Here are the possible outcomes:
- HH (Heads, then Heads)
- HT (Heads, then Tails)
- TH (Tails, then Heads)
- TT (Tails, then Tails)
2. Spinning the Spinner:
- The spinner has three sections labeled with colors: red (r), yellow (y), and blue (b).
3. Combining Outcomes:
- Each of the four outcomes from flipping the coin can be combined with each of the three outcomes from spinning the spinner.
- This means we need to pair each coin outcome with each spinner outcome.
4. Listing All Possible Combinations:
- The combinations of the coin flips and spinner colors are:
- HH combined with r, y, and b → HHr, HHy, HHb
- HT combined with r, y, and b → HTr, HTy, HTb
- TH combined with r, y, and b → THr, THy, THb
- TT combined with r, y, and b → TTr, TTy, TTb
Therefore, the complete list of possible outcomes when flipping a coin twice and spinning a spinner with three sections labeled red, yellow, and blue is:
```
['HHr', 'HHy', 'HHb', 'HTr', 'HTy', 'HTb', 'THr', 'THy', 'THb', 'TTr', 'TTy', 'TTb']
```
The correct answer is exactly these 12 outcomes.