Question

A letter is selected from the letters of the word FEBRUARY. The probability that it is a vowel is :

• A. \(\frac{1}{8}\)
• B. \(\frac{2}{8}\)
• C. \(\frac{3}{8}\)
• D. \(\frac{3}{7}\)

Hint:

In probability questions involving words, always count every letter individually, even if they repeat (like 'R' in February), unless the question specifically asks for "unique" letters.

Answer 1

The Correct Option is C

To solve this problem, we need to determine the probability of selecting a vowel from the letters in the word "FEBRUARY". Let's go through the steps:

1. First, list the letters in the word "FEBRUARY": F, E, B, R, U, A, R, Y.
2. Count the total number of letters: There are 8 letters in total.
3. Identify the vowels from these letters: The vowels in "FEBRUARY" are E, U, and A.
4. Count the number of vowels: There are 3 vowels (E, U, A).
5. The probability of selecting a vowel is given by the formula: \(P(\text{vowel}) = \frac{\text{Number of Vowels}}{\text{Total Number of Letters}}\).
6. Substitute the counts into the formula: \(P(\text{vowel}) = \frac{3}{8}\).

This calculation shows that the probability of selecting a vowel from the letters of the word "FEBRUARY" is \(\frac{3}{8}\), which corresponds to the correct answer.

Thus, the correct option is \(\frac{3}{8}\).