A letter is chosen at random from the letters in the word PROBABILITY . What is the probability that tha letter will be
a vowel

Answer

To find the probability of randomly selecting a vowel from the letters in the word "PROBABILITY", we can follow these steps:

### Step 1: Identify the total number of letters in the word
The word "PROBABILITY" consists of 11 letters.

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

So, the vowels in "PROBABILITY" are O, A, I, I.

### Step 3: Count the number of vowels
From the vowels identified, we can see that there are 4 vowels in total (O, A, I, I). Note that the letter I appears twice, but we count it as a single vowel for the purpose of probability.

### Step 4: Calculate the probability of choosing a vowel
The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, the number of favorable outcomes (vowels) is 4, and the total number of outcomes (total letters) is 11.

Thus, the probability of choosing a vowel is:
\[ \text{Probability} = \frac{4}{11} \]

### Final Answer
The probability that the letter chosen at random from the word "PROBABILITY" will be a vowel is \(\frac{4}{11}\).

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