A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is consonant.

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Solution

There are 26 letters in English alphabets.
$∴$ Total number of outcomes = 26
We know that there are 5 vowels and 21 consonants in English alphabets.
$∴$ Total number of favourable outcomes = 21
$∴$ Probability that the chosen letter is a consonant $= \frac{T o t a l n u m b e r o f f a v o u r a b l e o u t c o m e s}{T o t a l n u m b e r o f o u t c o m e s}$

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