A standard deck of cards has one card missing. A card is then picked from the deck.

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A standard deck of cards has one card missing. A card is then picked from the deck. What is the chance that it is a heart? Solve this problem in two ways:
(a) Condition on the missing card.
(b) Appeal to symmetry. That is, make a qualitative argument for why the answer should not depend on the heart suit.

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