Dubrovsky sits down to a night of gambling with his fellow officers. cach time he stakes u roubles there is a probability r that he will win and receive back 2u roubles (including his stake). At the beginning of the night he has 8000 roubles. If ever he has 256 000 roubles he will marry the beautiful Natasha and retire to his estate in the country. Otherwise, he will commit suicide. He decides to follow one of two courses of action: (i) to stake 1000 roubles each time until the issue is decided; (ii) to stake everything each time until the issue is decided. Advise him (a) if r= 1/4 and (b) if r=3/4. What are the chances of a happy ending in each case if he follows your advice?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Dubrovsky sits down to a night of gambling with his fellow officers.
cach time he stakes u roubles there is a probability r that he will win and receive back
2u roubles (including his stake). At the beginning of the night he has 8000 roubles. If ever
he has 256 000 roubles he will marry the beautiful Natasha and retire to his estate in the
country. Otherwise, he will commit suicide. He decides to follow one of two courses of
action:
(i)
to stake 1000 roubles each time until the issue is decided;
(ii)
to stake everything each time until the issue is decided.
Advise him (a) if r= 1/4 and (b) if r=3/4. What are the chances of a happy ending
in cach case if he follows your advice?
Transcribed Image Text:Dubrovsky sits down to a night of gambling with his fellow officers. cach time he stakes u roubles there is a probability r that he will win and receive back 2u roubles (including his stake). At the beginning of the night he has 8000 roubles. If ever he has 256 000 roubles he will marry the beautiful Natasha and retire to his estate in the country. Otherwise, he will commit suicide. He decides to follow one of two courses of action: (i) to stake 1000 roubles each time until the issue is decided; (ii) to stake everything each time until the issue is decided. Advise him (a) if r= 1/4 and (b) if r=3/4. What are the chances of a happy ending in cach case if he follows your advice?
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