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# A letter of English alphabets is chosen at random. Determine the probability that the letter is a consonant

**Solution:**

Given, a letter of English alphabets is chosen at random.

We have to determine the probability that the letter is a consonant.

There are 26 English alphabets which consist of 5 vowels and 21 consonants.

The probability of selecting a letter that is a consonant is given by

Favourable outcomes = b, c, d, f, g, h , j, k , l, m, n, p, q, r, s, t, v, w, x, y, z

Number of favourable outcomes = 21

Number of possible outcomes = 26

Probability = number of favourable outcomes / number of possible outcomes

Probability = 21/26

Therefore, the probability of choosing an alphabet that is a consonant is 21/26.

**✦ Try This: **A letter of English alphabets is chosen at random. Determine the probability that the letter is a vowel.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 33**

## A letter of English alphabets is chosen at random. Determine the probability that the letter is a consonant

**Summary:**

A letter of English alphabets is chosen at random. The probability that the letter is a consonant is 21/26

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