Question

A letter is chosen from English alphabet.find the probability of the letter being (1)a vowel (2)a letter comes after p (3)a vowel or a consonant (4)not vowel.

Answer 1

Answer :

There are total 26 alphabets in English.

$Probability=\frac{Favourable\:outcomes}{Total\:outcomes}$

a). A vowel

Favourable outcome = 5

Probability -

$\implies \frac{5}{26}$

b).A letter comes after p

Favourable outcome = 10

Probability -

$\implies \frac{10}{26}$

$\implies \frac{5}{13}$

c). A vowel or a consonant

Favourable outcome = 26

Probability -

$\implies \frac{26}{26}$

$\implies 1$

d). Not vowel

Favourable outcome = 21

Probability -

$\implies \frac{21}{26}$

Answer 2

Answer -

1. A vowel

Probability = 5/26

2. A letter comes after p

Probability = 10/26 = 5/13

3. A vowel or a consonant

Probability = 26/26 = 1

4. not vowel

Probability = 21/26