# Hexagon Toy Probability

The toy below is a rigid hexagon with a colored circle at each vertex. It is currently in its holder, which has corresponding colored circles at each vertex.

The toy is taken out of its holder, tossed around at random, and then placed back into the holder. What is the probability that the colors now match with the holder?

Note: The hexagon toy can be flipped upside down. The same colors are on the opposite side.

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