At least two Aces?
this is a great one that i found in a probability book
if lolly deals out a hand of 13 cards and offers to pay you $10 to your $10 bet if the hand contains at least two aces you would of course refuse to bet - in fact only 26% of such hands contain two or more aces
but if she keeps dealing out one 13 card hand at a time from a well-shuffled deck until she can tell you honestly that "this hand contains at least one ace" would you then be prepared to bet that the hand contains at least two aces, at even money?
or if, instead, in the latter case, she could say honestly "this hand contains the ace of spades" would you then be prepared to bet that the hand contains at least two aces, at even money?
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