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7. Suppose you deal the spades in a deck of cards to two people, East and West. With probability .25 East is dealt both the

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7. Suppose you deal the spades in a deck of cards to two people, East and West. With probability .25 East is dealt both the king and queen, with probability .25 East is dealt the king but not the queen, with probability .25 East is dealt the queen but not the king, and with probability .25 East is dealt neither the king nor the queen. If you ask East if he has the king or queen of spades, (i) if he has just the king he will show you the king, (ii) if he has just the queen he will show you the queen, (iii) if he has both the king and queen he will pick one randomly and show it to you, or (iv) if he has neither the king nor the queen he will tell you he has neither. You ask East if he has the king or queen and he shows you the king. What is the probability East also has the queen

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