A coin is tossed 3 times and the outcomes are recorded . how many possible outcomes are there?

Explanation

To determine the number of possible outcomes when a coin is tossed three times, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Outcomes for One Toss**:
A single coin toss has two possible outcomes: Heads (H) or Tails (T).

2. **Determine the Number of Tosses**:
In this problem, the coin is tossed three times.

3. **Calculate the Total Outcomes**:
Since each toss is independent, the total number of outcomes can be calculated using the formula for permutations of independent events. The formula is:
\[ \text{Total Outcomes} = (\text{Number of Outcomes per Toss})^{\text{Number of Tosses}} \]
Here, the number of outcomes per toss is 2 (H or T), and the number of tosses is 3. Therefore, we can calculate:
\[ \text{Total Outcomes} = 2^3 \]

4. **Perform the Calculation**:
Now, we calculate \(2^3\):
\[ 2^3 = 8 \]

5. **Conclusion**:
Thus, the total number of possible outcomes when a coin is tossed three times is 8.

### Final Answer:
The total number of possible outcomes is **8**.

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