. Box I contains 3 red and 2 blue marbles while Box II 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.
A. Find the probability that a red marble is chosen
B. What is the probability that Box I was chosen given that a red marble is known to have been chosen?
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