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)?

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**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)?
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)?
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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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