From the five English vowels {a, e, i, o, u}, one vowel is selected uniformly at random. What is the probability that it is the letter i?

Introduction / Context:
A uniform choice from a set with equally likely outcomes yields a probability equal to 1 divided by the set size for any particular specified element.

Given Data / Assumptions:

• Vowel set: {a, e, i, o, u}.
• Each vowel is equally likely.

Concept / Approach:
P(chosen vowel is i) = 1 / 5 because there is exactly one favourable element among five equally likely vowels.

Step-by-Step Solution:
Total outcomes = 5.Favourable outcomes (letter i) = 1.Probability = 1/5.

Verification / Alternative check:
Symmetry: each vowel has identical probability → each 1/5; summing five such equal probabilities gives 1.

Why Other Options Are Wrong:
4/5 would be “not i”; 1/2 and 1/3 do not match the equally likely 5-way split.

Common Pitfalls:
Overthinking the selection—this is a direct uniform-choice scenario.

Final Answer:
1/5