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

Options

A. `7/11`
B. `3/11`
C. `4/11`
D. `6/11`

Answer

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

### Step 1: Count the total number of letters in the word "PROBABILITY".
The word "PROBABILITY" consists of the following letters: P, R, O, B, A, B, I, L, I, T, Y.

**Total letters = 11**

### Step 2: Identify the vowels in the word.
The vowels in the English alphabet are A, E, I, O, and U. In the word "PROBABILITY", the vowels present are:
- O
- A
- I
- I

**Total vowels = 4** (O, A, I, I)

### Step 3: Calculate the probability of selecting a vowel.
The probability \( P \) of an event is given by the formula:

\[ P(\text{vowel}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case:
- Number of favorable outcomes (vowels) = 4
- Total number of outcomes (letters) = 11

So, we can calculate the probability:

\[ P(\text{vowel}) = \frac{4}{11} \]

### Final Answer:
The probability that a randomly selected letter from the word "PROBABILITY" is a vowel is \( \frac{4}{11} \).

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