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Throughout a month (30 days), everyday you play a certain game exactly once. On the first day you deposit 1000 coins and everyday you bet any positive amount (not exceeding the deposit) and at the end of the game, your bet is tripled (with probability 4/9) and added to your deposit or lost (with probability 5/9), independently each day. If on some day, you bet all your deposit and lose the game, then you are bankrupt and game ends. How much should you bet on each day?

Throughout a month (30 days), everyday you play a certain game exactly once. On the first day you deposit 1000 coins and everyday you bet any positive amount (not exceeding the deposit) and at the end of the game, your bet is tripled (with probability 4/9) and added to your deposit or lost (with probability 5/9), independently each day. If on some day, you bet all your deposit and lose the game, then you are bankrupt and game ends. How much should you bet on each day?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Throughout a month (30 days), everyday you play a certain game exactly once.
On the first day you deposit 1000 coins and everyday you bet any positive amount (not exceeding the deposit) and at the end of the game,
your bet is tripled (with probability 4/9) and added to your deposit or lost (with probability 5/9), independently each day.
If on some day, you bet all your deposit and lose the game, then you are bankrupt and game ends.
How much should you bet on each day? 

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