Q10 of 54 Page 403

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is

(i) a vowel


(ii) a consonant

There are 13 letters in the word ‘ASSASSINATION’ which contains 6 vowels and 7 consonants.

The sample space here will have all the letters of the word ASSASSINATION


So here n(S) = 13


(i) Let A be the event of selecting a vowel


n(A) = 6



(ii) Let A be the event of selecting the consonant


n(A)= 7



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8

Three coins are tossed once. Find the probability of getting

(i) 3 heads


(ii) 2 heads


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(iv) at most 2 heads


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(vi) exactly two tails


(vii) (viii) no tail


(viii) (ix) at most two tails

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If is the probability of an event, what is the probability of the event ‘not A’.

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Check whether the following probabilities P(A) and P(B) are consistently defined

(i) P(A) = 0.5, P(B) = 0.7, P(A B) = 0.6


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