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This is actually very similar to a question I was asked when interviewing to read Maths at Oxford. In the Oxford version, your brother and you are also playing a game. You have a 2-dimensional block of chocolate with a poison piece somewhere in the block. The poison piece is bright green to the eye. You each take it in turn to break off some chocolate (you have to follow the rows and columns of the chocolate, and the break must be a single break). To win you must avoid eating the poison piece and end the game by handing it to your brother. You have the choice of going first or second? When should you choose either?

Nim in disguise

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