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Aufgabe 27 UE Wahrscheinlichkeitstheorie
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Aufgabe 27\n", | |
"\n", | |
"Beim Pokerspiel Texas Hold'em wird ein 52-Blatt-Kartenspiel gut gemischt. Jeder von insgesamt 6 Spielern erhält zu Beginn zwei Karten. Mit welcher Wahrscheinlichkeit erhält mindestens ein Spieler 2 Könige?\n", | |
"***" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import random" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def simulation(N=1000000):\n", | |
" kartenspiel = [2, 3, 4, 5, 6, 7, 8, 9, 10, 'J', 'D', 'K', 'A'] * 4 # Erstelle Kartenspiel mit 52 Karten \n", | |
" res = []\n", | |
" for j in range(N):\n", | |
" if j%(N//100) == 0: # Fortschrittsbalken\n", | |
" print('*',end='',flush=True) \n", | |
" karten_gezogen = random.sample(kartenspiel, k=12) # 12 Karten abheben, die danach an die 6 Spieler verteilt werden\n", | |
" karten_spieler = {(karten_gezogen[i], karten_gezogen[i+1]) for i in range(0, 12, 2)} # Verteile die 12 Karten auf die 6 Spieler\n", | |
" res.append(('K','K') in karten_spieler) # Erweitere Liste um True falls ein Spieler beide Könige hat\n", | |
" print()\n", | |
" return res.count(True)/N # Wie oft kam True vor" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"****************************************************************************************************\n", | |
"0.026858\n" | |
] | |
} | |
], | |
"source": [ | |
"print(simulation())" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
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"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
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"name": "python", | |
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"pygments_lexer": "ipython3", | |
"version": "3.6.1" | |
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"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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