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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

1 Answer

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Best 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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