A letter is chosen from the word 'TRIANGLE'. What is the probability that it is a vowel?

Answer

To find the probability of choosing a vowel from the word 'TRIANGLE', we can follow these steps:

### Step 1: Identify the total number of letters in the word 'TRIANGLE'.
The word 'TRIANGLE' consists of the following letters: T, R, I, A, N, G, L, E.
Counting these letters gives us:
- Total letters = 8

### Step 2: Identify the vowels in the word 'TRIANGLE'.
The vowels in the English alphabet are A, E, I, O, and U.
Now, we will check which of these vowels are present in the word 'TRIANGLE':
- The vowels present are: I, A, E.

Counting these vowels gives us:
- Total vowels = 3 (I, A, E)

### Step 3: Calculate the probability of choosing 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) = 3
- Total number of outcomes (letters in 'TRIANGLE') = 8

Thus, the probability of choosing a vowel is:
\[ P(\text{vowel}) = \frac{3}{8} \]

### Final Answer:
The probability that a letter chosen from the word 'TRIANGLE' is a vowel is \( \frac{3}{8} \).

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