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Game_of_chance_simulation.ipynb

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"cell_type": "markdown",
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"## Game of chance\n",
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"\n",
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"### Dr. Tirthajyoti Sarkar, Fremont, CA, May 2019\n",
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"Two players play a turn-based game. The player who deals first, wins the game with 90% probability and gets to choose the dealer of the next game.\n",
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"Two players play a turn-based game. The player who deals first wins the game with a 90% probability and gets to choose the dealer for the next game.\n",
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"Player 'A' gets the first chance of the first game. Obviously player 'B' is at disadvantage.\n",
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"Any rational person would choose herself as the dealer to maximize the chance of winning the next game too.\n",
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"\n",
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"Player 'A' gets the first chance of the first game. Obviously, player 'B' is at a disadvantage.\n",
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"But is she?\n",
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"**What happens if this game is played infinite times?**\n",
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"Can we simulate the game outcomes and show that this game is symmetric in the limit of infinite repitition i.e. **no matter which players starts the game, for a large number of repeated plays, they both win almost same number of games?**\n",
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"Can we simulate the game outcomes and show that this **game is symmetric in the limit of infinite repetition** i.e. no matter which players starts the game, for a large number of repeated plays, they both win the almost same number of games?\n",
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"<br>\n",
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"![game_of_chance](https://www.gamerbolt.com/wp-content/uploads/2017/11/dice-780x405.png)"

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