Question

What is the probability of choosing a vowel from the alphabets?

• A. $\frac{21}{26}$
• B. $\frac{5}{26}$
• C. $\frac{1}{26}$
• D. $\frac{3}{26}$

Answer 1

The correct option is B

$\frac{5}{26}$

Probability of selecting a vowel from alphabets.

Explanation for correct answer.

Option (B). $\frac{5}{26}$

Probability is a measure of the likelihood of an event to occur.

Probability of event to happen:

$\mathrm{P}\left(\mathrm{E}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{Number}\mathrm{of}\mathrm{outcomes}}$

choose a vowel from the alphabets:

There are 26 English Alphabets out of which 5 are vowels (a,e,i,o,u).

Let $V$ be the event of selecting vowel from the alphabet,

The likelihood of selecting a vowel from the alphabet is as follow:

$$\begin{gathered} \mathrm{P}\left(\mathrm{V}\right)=\frac{{}^5\mathrm{C}_1}{{}^{26}\mathrm{C}_1} \\ \Rightarrow \mathrm{P}\left(\mathrm{V}\right)=\frac{5}{26} \end{gathered}$$

Hence, the probability of choosing a vowel from the alphabets is $\frac{5}{26}$.

Therefore, Option (B) is the correct answer.

Explanation of incorrect option:

Since the probability of choosing a vowel from the alphabets is $\frac{5}{26}$as determined above which is not equal to the value mentioned in Option (A),Option (C) and Option (D).

Hence Option (A) Option (C) and Option (D) are incorrect option.

Therefore, Option (B) is the correct answer.