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Carter has a large collection of marbles. He knows that he has exactly 20 blue marbles in his collection, but he does not know how many marbles he has in all. Carter mixes up his marbles and randomly picks out 40 marbles. Of the 40 marbles he picked, four are blue. Based on these results, what is the best estimate you can give for the total number of marbles in Carter’s collection? Explain your reasoning. Solve this problem in three different ways, explaining your reasoning in each case.
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