10. Equal Heads In The Dark 10. You're in a dark room with 100 coins on a table, 12 are heads and the rest are tails, and the two faces are completely indistinguishable in the dark. How do you separate the coins into two piles so that the number of face up heads in each pile are equal? Added 1 January 2007 Show Hint Show Solution Hint: Make a pile with 12 random coins. Solution: Divide the coins into two piles: Select any 12 coins from the 100 and place them into a new pile, leaving the remaining 88 coins in the other pile. Flip all the coins in the smaller pile (the one with 12 coins): Simply flip each of the 12 coins over to their opposite side. Think about it, it takes a while.
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