A letter is chosen at random from the word COFFEE . The probability of that letter being vowel is

Options

A. `(1)/(6)`
B. `(1)/(3)`
C. `(1)/(2)`
D. `(2)/(3)`

Answer

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

### Step 1: Identify the total number of letters in the word "COFFEE."
The word "COFFEE" consists of the letters: C, O, F, F, E, E.
- Total letters = 6

### Step 2: Identify the vowels in the word "COFFEE."
The vowels in the English language are A, E, I, O, U.
- In "COFFEE," the vowels are O and E.
- Count of vowels = 2 (O, E)

### Step 3: Calculate the probability of selecting a vowel.
The probability (P) of an event is calculated using the formula:
\[ P(\text{vowel}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \]
- Number of favorable outcomes (vowels) = 2
- Total outcomes (total letters) = 6

Now, substituting the values into the formula:
\[ P(\text{vowel}) = \frac{2}{6} \]

### Step 4: Simplify the fraction.
\[ P(\text{vowel}) = \frac{1}{3} \]

Thus, the probability of choosing a vowel from the word "COFFEE" is \( \frac{1}{3} \).

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