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math-probability

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Mary has 3 boxes with Marbles. Eavh box is labeled so that she knows what is in each box. She has 1 box with 2 blue marbles, another box with 2 red marbles and a 3rd box with 1 red and 1 blue marble. Mary's little sister removed all the labels and she placed them back incorrectly.
IS it possible for Mary to reach for only 1 marble, look at it and determine which box is which?

Thank you for the help!

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