Central topic markov chains: Young Filibonio (who likes steak), Petronilo (who likes chicken) and Juventino (who likes ham) are frequently invited to eat at their friend Susiflor's house. frequently invited to eat at the home of their friend Susiflor, who only prepares these three dishes. They have decided to bet, before going to each meal, on which dish they will be served. The assumption is that if their hostess serves steak on one occasion, she will not serve it next time; she then flips a coin and serves chicken if it lands on the table. a coin and serves chicken if it lands eagle or ham if it lands sun. If on a certain occasion she serves chicken, for the next time she flips two dice, and will serve chicken if they both land on the same number; if on the first flip, she will serve chicken if they both land on the same number. number; if on the first roll of the dice different numbers fall, he throws them again, and he will serve steak if they fall on the same same mark or ham otherwise. If on a certain occasion he serves ham, for the next time he draws a card at random from an American deck, and serves chicken if they are diamonds, or steak if they are diamonds, or steak if they are diamonds. diamonds, or steak otherwise. If each guest always bets that he will eat the dish of his choice, what proportion of the time, in the long run, will each win?
Central topic markov chains: Young Filibonio (who likes steak), Petronilo (who likes chicken) and Juventino (who likes ham) are frequently invited to eat at their friend Susiflor's house.
frequently invited to eat at the home of their friend Susiflor, who only prepares these three dishes.
They have decided to bet, before going to each meal, on which dish they will be served.
The assumption is that if their hostess serves steak on one occasion, she will not serve it next time; she then flips a coin and serves chicken if it lands on the table.
a coin and serves chicken if it lands eagle or ham if it lands sun.
If on a certain occasion she serves chicken, for the next time she flips two dice, and will serve chicken if they both land on the same number; if on the first flip, she will serve chicken if they both land on the same number.
number; if on the first roll of the dice different numbers fall, he throws them again, and he will serve steak if they fall on the same
same mark or ham otherwise.
If on a certain occasion he serves ham, for the next time he draws a card at random from an American deck, and serves chicken if they are diamonds, or steak if they are diamonds, or steak if they are diamonds.
diamonds, or steak otherwise.
If each guest always bets that he will eat the dish of his choice, what proportion of the time, in the long run, will each win?
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