A single letter is selected at random from the word "PROBABILITY" . The probability that it is a vowel is

Options

A. `1/11`
B. `4/11`
C. `3/11`
D. None of these

Answer

To solve the problem of finding the probability that a randomly selected letter from the word "PROBABILITY" is a vowel, we can follow these steps:

### Step-by-Step Solution

1. **Identify the total number of letters in the word "PROBABILITY".**
- The word "PROBABILITY" has 11 letters in total.

2. **Identify the vowels in the word.**
- The vowels in the word "PROBABILITY" are: O, A, I (the letters are counted as vowels).
- Count the number of vowels: There are 4 vowels (O, A, I, and I).

3. **Calculate the total number of vowels.**
- The total number of vowels is 4.

4. **Calculate the probability of selecting a vowel.**
- The probability \( P \) of selecting a vowel is given by the formula:
\[ P(\text{vowel}) = \frac{\text{Number of vowels}}{\text{Total number of letters}} \]
- Substituting the values we found:
\[ P(\text{vowel}) = \frac{4}{11} \]

5. **Conclusion:**
- The probability that a randomly selected letter from the word "PROBABILITY" is a vowel is \( \frac{4}{11} \).

### Final Answer
The probability that the letter selected is a vowel is \( \frac{4}{11} \).

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