QUESTION

# If a letter of English alphabet is chosen at random, then the probability that the letter is a consonant is:A. $\dfrac{5}{{26}}$B. $\dfrac{{21}}{{26}}$C. $\dfrac{{10}}{{13}}$D. $\dfrac{{11}}{{13}}$

Hint: In this question use this concept that the total number of English alphabets are twenty six out of them five are vowels and the rest twenty one are consonants.

Since total alphabets $= 26$
Vowels $= 5$
Number of consonant $= 26 - 5 = 21$
As we know that ${\text{Probability}} = \dfrac{{{\text{Number of favourable outcome}}}}{{{\text{Number of total outcome}}}}$
Number of favorable outcome is the number of consonants $= 21$
Number of total outcome $= 26$
Therefore the probability that letter is a consonant $= \dfrac{{21}}{{26}}$