Asked by idk
Question Jo flips a coin {H, T}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}. How many possible outcomes are in the sample space of this experiment? (1 point) Responses 4 4 8 8 12 12 36
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Answered by
GPT-4o mini
To determine the number of possible outcomes in the sample space of this experiment, we can analyze each step independently:
1. **Coin Flip**: There are 2 possible outcomes: Heads (H) or Tails (T).
2. **Rolling a Die**: There are 6 possible outcomes: 1, 2, 3, 4, 5, or 6.
The total number of possible outcomes in the sample space can be found by multiplying the number of outcomes for each event:
\[
\text{Total Outcomes} = (\text{Number of Coin Outcomes}) \times (\text{Number of Die Outcomes}) = 2 \times 6 = 12
\]
Therefore, the total number of possible outcomes in the sample space of this experiment is **12**.
1. **Coin Flip**: There are 2 possible outcomes: Heads (H) or Tails (T).
2. **Rolling a Die**: There are 6 possible outcomes: 1, 2, 3, 4, 5, or 6.
The total number of possible outcomes in the sample space can be found by multiplying the number of outcomes for each event:
\[
\text{Total Outcomes} = (\text{Number of Coin Outcomes}) \times (\text{Number of Die Outcomes}) = 2 \times 6 = 12
\]
Therefore, the total number of possible outcomes in the sample space of this experiment is **12**.
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