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You are interested in determining whether a particular child can discriminate the color green from blue. Therefore, you show the child fi ve wooden blocks. The blocks are identical except that two are green and three are blue. You randomly arrange the blocks in a row and ask him to pick out a green block. After a block is picked, you replace it and randomize the order of the blocks once more. Then you again ask him to pick out a green block. This procedure is repeated until the child has made 14 selections. If he really can't discriminate green from blue, what is the probability he will pick a green block at least 11 times?

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