Cheeky Chinchillas - Logical Puzzle

Three chinchills apply for a job at the Cheeky Chinchillas School Of Philosophy. Dean Chin can't decide who should get the job, so he sets them a puzzle. The first chin to solve it will get the job. This is what he says... "I am going to place a blue or a white spot on each of your foreheads. If you can see a white spot, raise your right hand. As soon as you know your own colour, lower your hand". He actually places white spots on all 3 foreheads and so they all raise their right hands. After a while, one of the chins lowers his hand and says, "I must be white". The Dean asks for the explanation to secure the job. They are all facing each other in a room where there are no mirrors. There is a logical explanation - it is not a trick. Do you know what it is?

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