Tonight at 7pm a professional basketball game featuring the Golden State Warriors and the Washington Wizards will be played at the Chase Center, an indoor arena in the Mission Bay neighborhood of San Francisco, California. Our teaching assistants Yang and Guangchu are making fair bets on the game. During office hours you learn that Yang thinks the Warriors will win and believes he is making a fair bet, assigning a probability of 5/6 or 83 % to the Warriors winning. Guangchu is betting on the Wizards and also believes he is making a fair bet, assigning a probability of 7/12 or 58% to the Wizards winning. You seek to bet a total of $N with Yang and Guangchu and capture a guaranteed, risk-free arbitrage profit. Now assume that N $240. Let z be the number of dollars bet with Yang. What is the exact range of x that guarantees that your profit is greater than or equal to zero, no matter who wins the game? O 40 < a< 140 O 40 < a < 240 00S< 140 O0S< 240 O0 << 40 O 80 < a < 160
Tonight at 7pm a professional basketball game featuring the Golden State Warriors and the Washington Wizards will be played at the Chase Center, an indoor arena in the Mission Bay neighborhood of San Francisco, California. Our teaching assistants Yang and Guangchu are making fair bets on the game. During office hours you learn that Yang thinks the Warriors will win and believes he is making a fair bet, assigning a probability of 5/6 or 83 % to the Warriors winning. Guangchu is betting on the Wizards and also believes he is making a fair bet, assigning a probability of 7/12 or 58% to the Wizards winning. You seek to bet a total of $N with Yang and Guangchu and capture a guaranteed, risk-free arbitrage profit. Now assume that N $240. Let z be the number of dollars bet with Yang. What is the exact range of x that guarantees that your profit is greater than or equal to zero, no matter who wins the game? O 40 < a< 140 O 40 < a < 240 00S< 140 O0S< 240 O0 << 40 O 80 < a < 160
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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