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What is the probability that the chosen marble is red

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Reference no: EM132190191

Consider the following experiment. You have two bags: Bag I contains 5 blue marbles and 2 red marbles, while Bag II contains 2 blue marbles and 3 red marbles. You begin by rolling two fair die. If the sum of the die total a number strictly greater than 10, you choose Bag I, and otherwise you choose Bag II. Now flip a fair coin. If the coin shows heads, add one blue marble to your bag, and add a red marble on tails. Now choose a marble at random from your bag. What is the probability that the chosen marble is red?

Reference no: EM132190191

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