Draw a probability tree and calculate the expectation of this game. Would you play it? What would happen to your stash if you played the game a whole bunch of times (i.e., if you had enough money to play the game 1 million times)?
Draw a probability tree and calculate the expectation of this game. Would you play it? What would happen to your stash if you played the game a whole bunch of times (i.e., if you had enough money to play the game 1 million times)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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
Transcribed Image Text:**Problem 8.**
Consider the following game: by betting 1 dollar, you have a 35% chance of winning the game which gives you a reward of $2.50. Also, assume you have a 15% chance to neither win nor lose any money (i.e., your $1 is returned) and assume that you have a 50% of losing the game (i.e., you lose your original dollar). Draw a probability tree and calculate the expectation of this game.
Would you play it? What would happen to your stash if you played the game a whole bunch of times (i.e., if you had enough money to play the game 1 million times)?
Expert Solution
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Step 1
Given information
Given that, one have betted one dollar and there are total three possibilities
First, he will win the game with probability 0.35 and get the reward of $2.50
Secondly, he will neither win nor lose the game, this lead to getting one dollar return back with probability 0.15
third, he will lose the game entirely and get nothing with probability 0.50.
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Solved in 2 steps with 1 images
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