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Question

A letter of English alphabet is chosen at random. Probability of getting a vowel is:

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is

$\frac{5}{26}$

Probability of Choosing a Vowel

This question asks for the probability of randomly selecting a vowel from the English alphabet.

Identify Total Possible Outcomes

The English alphabet contains 26 letters. Each letter represents a total possible outcome.

  • Total letters = 26

Identify Favorable Outcomes

The vowels in the English alphabet are A, E, I, O, and U. These are the specific outcomes we are looking for.

  • Number of vowels = 5

Calculate Probability

Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

The formula is:

$ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} $

For this specific question:

$ P(\text{Vowel}) = \frac{\text{Number of Vowels}}{\text{Total Number of Letters}} $

Substitute the identified values:

$ P(\text{Vowel}) = \frac{5}{26} $

Conclusion

The probability of randomly choosing a vowel from the English alphabet is $\frac{5}{26}$.

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