Q. 185.0( 2 Votes )

A letter is chosen at random from the letters of the word ‘ASSOCIATION’. Find the probability that the chosen letter is a (i) vowel, (ii) consonant, (iii) an S.

Answer :

Total numbers of letters in the given word ASSOCIATION = 11

(i) Let E be the event of getting a vowel


The favourable outcomes are: (A, O, I, A, I, O)


Number of vowels in the given word = 6


P (getting a vowel) = P (E) = 6/11


(ii) Let E be the event of getting a consonant


Favourable consonants in the given word = (S, S, C, T, N)


The numbers of favourable outcomes = 5


P (getting a consonant) = P (E) = 5/11


(iii) Let E be the event of getting S


Number of S in the given word or number of favourable outcomes = 2


P (getting an S) = P (E) = 2/11


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