A gambler has one rupee in his pocket. He tosses an unbiased normal coin unless either he is ruined or unless the coin has been tossed for a maximum of five times. If for each head he wins a rupee and for each tail he looses a rupee, then if the probability that the gambler is ruined is 
(where p and q are co-prime natural numbers) then p + q is
Text Solution
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(27)
Sol. Gambler might ruin in there ways :
(i) In first toss i.e T or (ii) In third toss i.e HTT or (iii) in fifith toss i.e HHTTT or HTHTT
P = 
+ 
+ 
+ 
= 
= 
= 
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