A letter is chosen from English alphabet. Find the probability of the

1.	A letter is chosen from English alphabet. Find the probability of the letters being a) A vowel b) A letter comes after P c) A vowel or a consonant d) Not a vowel
Answer» Total letters ;= 26 [A, B, C ….. Z] Probability = \(\frac {No.\,of\, favourables}{Total\, No.\,of\,outcomes}\) a) Vowels = a, e, i, o, u [5] ∴ (vowels) = 5/26 b) Letter after P = 10 [Q, R, S, T, U, V, W, X, Y, Z] Probability of a letter that comes after ’P’ = 10/26 = 5/13 c) A vowel or a consonant Vowel or consonants = 26 [all letters from A to Z] P(vowel or consonant) = 26/26 =1 d) Not a vowel = 21 [other than A, E, I, O, U] ∴ P(not a vowel) = 21/26

A letter is chosen from English alphabet. Find the probability of the letters being a) A vowel b) A letter comes after P c) A vowel or a consonant d) Not a vowel

Answer»

Total letters ;= 26 [A, B, C ….. Z]

Probability = \(\frac {No.\,of\, favourables}{Total\, No.\,of\,outcomes}\)

a) Vowels = a, e, i, o, u [5]

∴ (vowels) = 5/26

b) Letter after P = 10

[Q, R, S, T, U, V, W, X, Y, Z]

Probability of a letter that comes after

’P’ = 10/26 = 5/13

c) A vowel or a consonant

Vowel or consonants = 26

[all letters from A to Z]

P(vowel or consonant) = 26/26 =1

d) Not a vowel = 21

[other than A, E, I, O, U]

∴ P(not a vowel) = 21/26

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A letter is chosen from English alphabet. Find the probability of the letters being a) A vowel b) A letter comes after P c) A vowel or a consonant d) Not a vowel

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