The probability of choosing a vowel randomly from 5 vowels is `m/n` . Then n - m is equal to

Answer

To solve the problem, we need to find the probability of choosing a vowel randomly from the 5 vowels (a, e, i, o, u) and express it in the form of \( \frac{m}{n} \). Then, we will calculate \( n - m \).

### Step-by-Step Solution:

1. **Identify the Vowels**:
The vowels in the English language are: a, e, i, o, u.
Thus, there are a total of 5 vowels.

2. **Determine the Favorable Outcomes**:
When choosing one vowel randomly, the favorable outcome is choosing any one of the 5 vowels. Therefore, the number of favorable outcomes is 1 (since we are choosing one vowel).

3. **Determine the Total Outcomes**:
The total number of outcomes when choosing from the 5 vowels is 5 (since there are 5 vowels).

4. **Calculate the Probability**:
The probability \( P \) of choosing a vowel is given by the formula:
\[ P = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} = \frac{1}{5} \]
Here, we can identify \( m = 1 \) and \( n = 5 \).

5. **Calculate \( n - m \)**:
Now, we need to find \( n - m \):
\[ n - m = 5 - 1 = 4 \]

### Final Answer:
Thus, the value of \( n - m \) is **4**.