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In box 1, there are 5 red balls and 5 blue balls. In box 2, there are 7 red balls, and 3 blue balls. You

In box 1, there are 5 red balls and 5 blue balls. In box 2, there are 7 red balls, and 3 blue balls. You toss an unbiased coin. If the outcome is head then you draw two balls from the box 1, and if the outcome is tail you draw two balls from the box 2. What is the probability that you will get at least one blue ball? (Balls are taken out together, and assume that the outcomes are equally likely.)

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