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Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > A letter is chosen at random from the word 'ASSASSINATION'....
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A letter is chosen at random from the word 'ASSASSINATION'. Find the probability that a letter is (i) a vowel (ii) a consonant.

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Probability that it is a vowel is 6/13. Probability that it is a consonant is 7/13.
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GMAT Math Expert

there are 6 vowels and 7 consonants. (i) 6/13 and (ii) 7/13
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Probability that it is vowel = 6/13 I is consonant = 7/13
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Data Analytics & Advanced Statistics Tutor with 18 years of experience in teaching

Probability (Vowel)=6C1/13C1 & Probability (Consonant)=7C1/13C1
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

The word "ASSASSINATION" has 13 letters in which there are 6 vowels like AAAIIO and 7 consonants SSSSNNT. n(S) = 13 No. of vowels = 6 Probability of choosing a vowel = 6 / 13 No. of consonants = 7 Probability of choosing a consonant = 7 / 13
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Mathematics Expert

Make two groups of vowels and consonant and then use the concept of ncr.
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Striker

3/6
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Spoken English, BTech Tuition, C Language, C++ Language, CAD etc., with 4 years of experience

6/13 and probability = 7/13
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Teaching is my passion!!!!

7/13
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sample space : { A, S, S, A, S,S,I,N, A, T, I, O, N} Total outcomes = 13 i) For vowel sample space : {A, A,A, I, I, O} Favourable outcome :6 P(a vowel) = 6/13 ii) for consonants, sample space : {S, S,S,N, T, N} Favourable outcomes = 7 P(a consonant) = 7/13
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