Question

A traveling circus came to the city of Kochi and Harry went to watch the circus. There he met a performer who called him on the stage. The performer took a coin which has 1 written on one side while 2 written on the opposite side of a coin and Told Harry that if the coin lands on 1, the performer wins and if it lands on 2, he loses. He also said that if he loses, he'll give Harry half the number of toffees in his pocket and if he wins he will collect half of the toffees harry has. He tossed the coin and the first time, he lost and gave Harry half the number of toffees in his pocket. He repeated the toss again and again, with the same promise to give the toffees to Harry. This went on for a while, but at the end of it, Harry realized that the coin landed on 1 and 2 the same number of times. Do you think the performer gain something, or do you think he lost something? If gain, Select 1, if loss select 2, if it can’t be determined, select 3 and if none of the mentioned, select 0.

Answer 1

Answer:

1 answer i know very well... as soon as possible karo...

Answer 2

Given : The performer took a coin which has 1 written on one side while 2 written on the opposite side of a coin and Told Harry that if the coin lands on 1, the performer wins and if it lands on 2, he loses

if he loses, he'll give Harry half the number of toffees in his pocket and if he wins he will collect half of the toffees harry has.

coin landed on 1 and 2 the same number of times.

To Find : performer gain something, or  lost something

loss

gain

Can’t be determined

none of these

Solution:

Performer  had  = P

Harry Had  = H

Just checking case after 2 tosses

Toss 1 :   Performer lost

Performer  had = P - P/2 = P/2

Harry  Had  = H  + P/2  

Toss 2 : Harry Lost    ( ∵ coin landed on 1 and 2 the same number of times.)

Performer  had =  P/2  + (H + P/2)/2  = 3P/4 + H/2

Harry  Had  = (H  + P/2)/2  =  H/2 + P/4

Now      3P/4 + H/2  < P    loss

if H/2 < P/4

if  2H < P

or

3P/4 + H/2  > P    Gain

if H/2 > P/4

if 2H > P

or  3P/4 + H/2 =  P    , No loss no gain

=> 2H = P

See in just two tosses result is dependent upon Initial number of toffees in their pockets which is not given

Hence it can’t be determined,

More Info :

And if Both started with same number of Toffees

then person who wins  at last time will be in gain.   ( irrespective of other facts like how many times won or lost) .

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