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In a town with a population of n , a person sends 2 letters to two seperate people ,each of whom is asked to repeat the procedure . thus for each letter recieved ,two letters are sent to seperate persons chosen at random (irrespective of what happened in the past). what is the probablity that in the first k stages ,the person who started the chain-letter will not reciebe a letter.

In a town with a population of n , a person sends 2 letters to two seperate people ,each of whom is asked to repeat the procedure . thus for each letter recieved ,two letters are sent to seperate persons chosen at random (irrespective of what happened in the past). what is the probablity that in the first k stages ,the person who started the chain-letter will not reciebe a letter. 

Grade:12

1 Answers

sudhir pal
askIITians Faculty 26 Points
10 years ago
since what happens in does not affect further proceedings each process are independent
probability does not receive letter 1- (nc1/nc2) = (n-3)/(n-1)
theprobabilitythat in the first k stages person does notreceiveletter
((n-3)/(n-1))k since all events are independent




Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi



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