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f. Please provide a correct, readable, and well explained solution for the following Box I contains 3 red and 2 blue marbles. Box 1] contains

f. Please provide a correct, readable, and well explained solution for the following

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Box I contains 3 red and 2 blue marbles. Box 1] contains 2 red and 8 blue marbles. A fair coin is tossed. If the coin turns up heads, a marble is chosen from Box I; if it turns up tails, a marble is chosen from Box II. Find the probability that a red marble is chosen

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