List all the possible outcomes from flipping a coin twice and spinning a spinner with three sections labeled red, yellow, and blue.

A. (HHr, HHy, HHb, HTr, HTy, HTb, THr, THy, THb, TTr, TTy, TTb)
B. (HH1, HH2, HH3, HH4, HT1, HT2, HT3, HT4, TH1, TH2, TH3, TH4, TT1, TT2, TT3, TT4)
C. (HHr, HHy, HHb, HTr, HTy, HTb, THr, THy, THb)
D. (HH1, HH2, HH3, HT1, HT2, HT3, TH1, TH2, TH3, TT1, TT2, TT3)



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.