How many possible outcomes are there if a coin is tossed 5 times ?

Answer

To find the number of possible outcomes when a coin is tossed 5 times, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the basic outcome of a single toss**:
- When a coin is tossed once, there are 2 possible outcomes: Heads (H) or Tails (T).

2. **Determine the outcomes for multiple tosses**:
- For each toss of the coin, the number of outcomes remains the same (2 outcomes: H or T).
- Therefore, if we toss the coin multiple times, the total number of outcomes is calculated by multiplying the outcomes of each toss.

3. **Calculate the total outcomes for 5 tosses**:
- For the first toss, there are 2 outcomes.
- For the second toss, there are again 2 outcomes.
- This pattern continues for all 5 tosses.
- Thus, the total number of outcomes can be expressed as:
\[ \text{Total Outcomes} = 2 \times 2 \times 2 \times 2 \times 2 = 2^5 \]

4. **Compute \(2^5\)**:
- Now, calculate \(2^5\):
\[ 2^5 = 32 \]

5. **Conclusion**:
- Therefore, the total number of possible outcomes when a coin is tossed 5 times is **32**.