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

Step 1: Understanding the Concept:
Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes in the sample space.
Step 2: Key Formula or Approach:
\[ P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Step 3: Detailed Explanation:
1. Total letters in "FEBRUARY": F, E, B, R, U, A, R, Y. Total count = 8.
2. Identify the vowels: The vowels in the English alphabet are A, E, I, O, U.
3. Favorable letters in the word: E, U, A. Count = 3.
4. Calculate Probability:
\[ P(\text{vowel}) = \frac{3}{8} \]
Step 4: Final Answer:
The probability is \(\frac{3}{8}\).