nuevo ejercicio

notebook/problems.ipynb

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-{"cells":[{"cell_type":"markdown","id":"a41f3622","metadata":{},"source":["# Probability exercises"]},{"cell_type":"markdown","id":"a6bdbd89","metadata":{},"source":["## Exercise 1 \n","\n","Two dices are thrown once and the total score is observed. Use a simulation to find the estimated probability that the total score is even or greater than 7.  A simulation is a repetition of the same experiment multiple times to observe its behavior:\n","\n","- Run the experiment 1000 times (roll 2 dice 1000 times, and sum the number of both dices).\n","- Keep track of the number of times that the sum was either greater than 7 or an even number.\n","- Divide the number from step 2 by the number of iterations (1000)."]},{"cell_type":"code","execution_count":1,"id":"8939d892","metadata":{},"outputs":[],"source":["# TODO"]},{"cell_type":"markdown","id":"55732bca","metadata":{},"source":["## Exercise 2\n","\n","A box contains 10 white balls, 20 red balls and 30 green balls. If we take 5 balls from the box with replacement (we take the ball, observe what color it is and put it back into the box). We want to know the probability of:\n","\n","1. Take 3 white and 2 red.\n","2. All are the same color.\n","\n","Run the experiment 1000 times and calculate the above probabilities."]},{"cell_type":"code","execution_count":2,"id":"23244d20","metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["{0: 'White', 1: 'White', 2: 'White', 3: 'White', 4: 'White', 5: 'White', 6: 'White', 7: 'White', 8: 'White', 9: 'White', 10: 'Red', 11: 'Red', 12: 'Red', 13: 'Red', 14: 'Red', 15: 'Red', 16: 'Red', 17: 'Red', 18: 'Red', 19: 'Red', 20: 'Red', 21: 'Red', 22: 'Red', 23: 'Red', 24: 'Red', 25: 'Red', 26: 'Red', 27: 'Red', 28: 'Red', 29: 'Red', 30: 'Green', 31: 'Green', 32: 'Green', 33: 'Green', 34: 'Green', 35: 'Green', 36: 'Green', 37: 'Green', 38: 'Green', 39: 'Green', 40: 'Green', 41: 'Green', 42: 'Green', 43: 'Green', 44: 'Green', 45: 'Green', 46: 'Green', 47: 'Green', 48: 'Green', 49: 'Green', 50: 'Green', 51: 'Green', 52: 'Green', 53: 'Green', 54: 'Green', 55: 'Green', 56: 'Green', 57: 'Green', 58: 'Green', 59: 'Green'}\n"]}],"source":["ball_box = {}\n","\n","# Create the box of balls\n","for i in range(60):\n","    if i < 10:\n","        ball_box[i] = \"White\"\n","    elif (i > 9) and (i < 30):\n","        ball_box[i] = \"Red\"\n","    else:\n","        ball_box[i] = \"Green\"\n","\n","print(ball_box)\n","            \n","# TODO"]}],"metadata":{"interpreter":{"hash":"9248718ffe6ce6938b217e69dbcc175ea21f4c6b28a317e96c05334edae734bb"},"kernelspec":{"display_name":"Python 3.9.12 ('ML-BOOTCAMP')","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.11.4"}},"nbformat":4,"nbformat_minor":5}
+{"cells":[{"cell_type":"markdown","id":"a41f3622","metadata":{},"source":["# Probability exercises"]},{"cell_type":"markdown","id":"a6bdbd89","metadata":{},"source":["## Exercise 1 \n","\n","Two dices are thrown once and the total score is observed. Use a simulation to find the estimated probability that the total score is even or greater than 7.  A simulation is a repetition of the same experiment multiple times to observe its behavior:\n","\n","- Run the experiment 1000 times (roll 2 dice 1000 times, and sum the number of both dices).\n","- Keep track of the number of times that the sum was either greater than 7 or an even number.\n","- Divide the number from step 2 by the number of iterations (1000)."]},{"cell_type":"code","execution_count":4,"id":"8939d892","metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["La probabilidad de sacar más de un 7 en la suma de los 2 dados es de 65.0%\n"]}],"source":["import numpy as np\n","import random\n","\n","def experimento_dados(n_lanzamientos = 1000):\n","    resultado = 0\n","\n","    for i in range(n_lanzamientos):\n","\n","        dado1 = random.randint(1,6)\n","        dado2 = random.randint(1,6)\n","    \n","        sucesos = dado1 + dado2\n","        if (sucesos %2 == 0) or sucesos > 7:\n","            resultado+=1\n","    return resultado/ n_lanzamientos\n","\n","print(f\"La probabilidad de sacar más de un 7 en la suma de los 2 dados es de {round(experimento_dados()*100,2)}%\")\n","\n","\n","\n","\n","\n","\n"]},{"cell_type":"markdown","id":"55732bca","metadata":{},"source":["## Exercise 2\n","\n","A box contains 10 white balls, 20 red balls and 30 green balls. If we take 5 balls from the box with replacement (we take the ball, observe what color it is and put it back into the box). We want to know the probability of:\n","\n","1. Take 3 white and 2 red.\n","2. All are the same color.\n","\n","Run the experiment 1000 times and calculate the above probabilities."]},{"cell_type":"code","execution_count":9,"id":"23244d20","metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["{0: 'White', 1: 'White', 2: 'White', 3: 'White', 4: 'White', 5: 'White', 6: 'White', 7: 'White', 8: 'White', 9: 'White', 10: 'Red', 11: 'Red', 12: 'Red', 13: 'Red', 14: 'Red', 15: 'Red', 16: 'Red', 17: 'Red', 18: 'Red', 19: 'Red', 20: 'Red', 21: 'Red', 22: 'Red', 23: 'Red', 24: 'Red', 25: 'Red', 26: 'Red', 27: 'Red', 28: 'Red', 29: 'Red', 30: 'Green', 31: 'Green', 32: 'Green', 33: 'Green', 34: 'Green', 35: 'Green', 36: 'Green', 37: 'Green', 38: 'Green', 39: 'Green', 40: 'Green', 41: 'Green', 42: 'Green', 43: 'Green', 44: 'Green', 45: 'Green', 46: 'Green', 47: 'Green', 48: 'Green', 49: 'Green', 50: 'Green', 51: 'Green', 52: 'Green', 53: 'Green', 54: 'Green', 55: 'Green', 56: 'Green', 57: 'Green', 58: 'Green', 59: 'Green'}\n","La probabilidad de 3 blancas y 2 rojas es de: 0.4%\n","La probabilidad de sacar todas las bolas del mismo color es de: 3.6%\n"]}],"source":["\n","ball_box = {}\n","\n","# Create the box of balls\n","for i in range(60):\n","    if i < 10:\n","        ball_box[i] = \"White\"\n","    elif (i > 9) and (i < 30):\n","        ball_box[i] = \"Red\"\n","    else:\n","        ball_box[i] = \"Green\"\n","\n","print(ball_box)\n","            \n","def bolas(n_simulaciones = 1000):\n","    resultados_1 = 0\n","    resultados_2 = 0\n","\n","    for i in range(n_simulaciones):\n","        colores = []\n","\n","        for i in range(5):\n","            colores.append(ball_box[np.random.randint(0, 59)])\n","\n","        colores = np.array(colores)\n","        \n","        bolas_blancas = sum(colores == \"White\")\n","        bolas_rojas = sum(colores == \"Red\")\n","        bolas_verdes = sum(colores == \"Green\")\n","\n","        \n","        if (bolas_blancas == 3) and (bolas_rojas == 2):\n","            resultados_1 += 1\n","        \n","        if (bolas_blancas  == 5) or (bolas_rojas == 5) or (bolas_verdes == 5):\n","            resultados_2 += 1\n","    \n","    return resultados_1 / n_simulaciones, resultados_2 / n_simulaciones\n","\n","probabilidad = bolas(1000)\n","\n","print(f\"La probabilidad de 3 blancas y 2 rojas es de: {np.round(probabilidad[0] * 100, 2)}%\")\n","print(f\"La probabilidad de sacar todas las bolas del mismo color es de: {np.round(probabilidad[1] * 100, 2)}%\")"]}],"metadata":{"interpreter":{"hash":"9248718ffe6ce6938b217e69dbcc175ea21f4c6b28a317e96c05334edae734bb"},"kernelspec":{"display_name":"Python 3.9.12 ('ML-BOOTCAMP')","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.11.4"}},"nbformat":4,"nbformat_minor":5}