Question

Find the probability of choosing a vowel from English alphabet.

Answer 1

Hint: We know that out of 26 letters, the number of vowels are five i.e. (a, e, i, o, u) and the remaining are consonants.So, we will make use of this result


Complete step by step solution: In the question to find the probability of selecting a vowel in English alphabet firstly, we have to write down the vowels in English alphabet i.e. (a, e, i, o, u)
Since there are 26 letters in English alphabet.
To find probability of an event i.e. choosing a vowel, we use probability formula,
\[P(Probability{\text{ }}of{\text{ }}an{\text{ }}event) = \dfrac{{Number\,of\,favourable\,cases}}{{Total\,Number\,of\,cases}}\]
Here, the number of favourable cases means the number of vowels in English alphabet i.e. (a, e, i, o, u).
Number of vowels in English alphabet $ = 5$
As we know total number of letters in English alphabet $ = 26$
$\therefore $Total number of cases becomes $26$
Now substitute these values in probability formula, we get
$P = \dfrac{{{\text{number of favorable cases}}}}{{Tota\operatorname{l} \,number\,of\,cases}}$
$
  P(choosing\,a\,vowel) = \dfrac{5}{{26}} \\
    \\
 $


Note: To verify the result, students can find the result for the probability of choosing a consonant from the English alphabet. Thereafter, on adding the result of the probability of choosing a vowel and the probability of choosing a consonant from the English alphabet, the result must come out to be one as the result of any probability lies between 0 to 1.