Lacee has three bags that each contain 300 marbles. Bag 1 has 62 red marbles, 213 green marbles, and 25 yellow marbles. Bag 2 has 231 blue marbles, 56 pink marbles, and 13 red marbles. Bag 3 has 75 orange marbles, 124 red marbles, 101 blue marbles. Lacee randomly chooses one of the bags at random and then randomly pick a marble from the chosen bag. What is the probability that the Lacee's chosen marble is red? Round your answer to three decimal places.

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