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Question: What is the probability that a selected alphabet is a vowel?


A ) 313
B ) 2126
C ) 526
D ) 213

Steps to derive

1 Probability of event E : P(E) = Number of outcomes in ETotal number of outcomes in the sample space
P(E) = n(E)n(S)

2 Sample space of alphabets = { a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z }

3 Number of elements in the sample space n(S) = 26

4 Vowels = { a, e, i, o, u }

5 Number of vowels n(E) = 5

6 P(E) = 526
 [Substitute the values of n(E) and n(S) in P(E).]

7 Probability that a selected alphabet is a vowel is 526 .



Hence the right answer is Option C

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