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In bin A, 40% of the marbles are red. In bin B, 52% of the marbles are red. You select a simple random sample of 30 marbles from bin A and 40 marbles...

In bin A, 40% of the marbles are red. In bin B, 52% of the marbles are red. You select a simple random sample of 30 marbles from bin A and 40 marbles from bin B. What is the probability that the proportion of red marbles in A is greater than B

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