SOLUTION: You are interested in determining whether a particular child can discriminate the color green from blue. Therefore, you show the child ten wooden blocks. The blocks are identical e

Question 287951: You are interested in determining whether a particular child can discriminate the color green from blue. Therefore, you show the child ten wooden blocks. The blocks are identical except that eight are green and two 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 12 selections. If he really can't discriminate green from blue, what is the probability he will pick a green block at least 9 times?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
you show the child ten wooden blocks.
The blocks are identical except that eight are green and two are blue.
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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 12 selections.
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If he really can't discriminate green from blue, what is the probability he will pick a green block at least 9 times?
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Binomial Problem:
P(pick green) = 0.8
P(pick blue) = 0.2
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P(10 green out of 10 picks) = 0.8^10 = 0.1074
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Cheers,
Stan H.
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