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Given two bags of balls. The first bag has 4 red balls and 1 green ball. The second bag has 7 red balls and 3

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Given two bags of balls. The first bag has 4 red balls and 1 green ball. The second bag has 7 red balls and 3 green balls. If we randomly pick a bag with equal probability and then randomly select a ball from that bag, what is the probability that the selected ball is red? Leave your answer as a value between 0 and 1 with 2 decimal places of precision (such as 0.12)

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