a letter is selected at random from each of the word 'NICE' and 'ICE'
represent the sample space using a possibility diagram and find the probability two letters are the same and the vowels!
represent the sample space using a possibility diagram and find the probability two letters are the same and the vowels!
Jawaban:
Correct options are A) , B) and C)
(A) Total number of letters in the given word = 4, out of these O and E are two vowels.
Let S be the sample space, then
S={HO,HM,HE,OM,OE,ME}⇒n(S)=6
Let A1 be the event of taking two vowels, then
A1={OE}=n(S)n(A1)=61
(B) Let A2 be the event of taking at least one vowel, then we have
A2={HO,HE,OE,ME,MO}⇒n(A2)=5
Hence, required probability =n(S)(n(A2))=65
(C) Let A3 be the event of taking one letter as M, then we have A3={HM,OM,ME}⇒n(A2)=5
Hence,required probability =n(S)n(A3)=63=21
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