1. Every time that the team wins a game, it wins its next game with probability 0.8; every time it loses a game, it wins its next game with probability 0.3. If the team wins a game, then it has dinner together with probability 0.7, whereas if the team loses then it has dinner together with probability 0.2. What proportion of games result in a team dinner?
2. An organization has N employees where N is a large number. Each employee has one of three possible job classi?cations and changes classi?cations (independently) according to a Markov chain with transition probabilities
|
?0.7
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0.2
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0.1?
|
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?0.2
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0.6
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0.2?
|
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0.1
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0.4
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0.5
|
What percentage of employees are in each classi?cation?