Two coins are tossed together. Find the probability of gettig:
exactly one tail

Answer

To solve the problem of finding the probability of getting exactly one tail when two coins are tossed, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Outcomes**:
When two coins are tossed, the possible outcomes can be listed as:
- Head, Head (HH)
- Head, Tail (HT)
- Tail, Head (TH)
- Tail, Tail (TT)

Therefore, the total number of outcomes is 4.

2. **Identify Favorable Outcomes for Exactly One Tail**:
We need to find the outcomes that have exactly one tail. From the list of outcomes:
- HT (Head, Tail) - has one tail
- TH (Tail, Head) - has one tail

So, the favorable outcomes for getting exactly one tail are HT and TH. This gives us a total of 2 favorable outcomes.

3. **Calculate the Probability**:
The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
Plugging in the values we have:
\[ \text{Probability of exactly one tail} = \frac{2}{4} \]

4. **Simplify the Probability**:
Simplifying \(\frac{2}{4}\) gives us:
\[ \frac{2}{4} = \frac{1}{2} \]

5. **Conclusion**:
Therefore, the probability of getting exactly one tail when two coins are tossed is \(\frac{1}{2}\).