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The Hat Trick

The magician finds not 1, not 2, but 3 cards! That’s a hat trick!

The spectator is actively involved in this magic trick, which makes it even more magical! But the spectator has so many different choices, how does the magician still manage to be successful?

There are a lot of operations involved in this trick, so stay focused and determine how maths play a part. This is yet another trick that uses arithmetic, but in what way? You have to look at the bigger picture!