document.write( "Question 891869: An urn contains 9 pink and 7 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all balls drawn from the urn are pink? Round your answer to three decimal places. \n" ); document.write( "

Algebra.Com's Answer #540157 by Edwin McCravy(20060) $\"\"$ $\"About$

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An urn contains 9 pink and 7 black balls. Four balls are randomly drawn from the
\n" ); document.write( "urn in succession, with replacement. That is, after each draw, the selected ball
\n" ); document.write( "is returned to the urn. What is the probability that all balls drawn from the
\n" ); document.write( "urn are pink? Round your answer to three decimal places.
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document.write( "There are 9+7=16 balls in the urn each time\r\n" );
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document.write( "Therefore the probability of drawing a pink ball each time is 9/16\r\n" );
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document.write( "P(pink 1st AND pink 2nd AND pink 3rd AND pink 4th) =\r\n" );
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document.write( "P(pink 1st)*P(pink 2nd)*P(pink 3rd)*P(pink 4th) =\r\n" );
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document.write( "(9/16)*(9/16)*(9/16)*(9/16) =\r\n" );
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document.write( "(9/16)^4\r\n" );
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document.write( "9^4/16^4\r\n" );
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document.write( "6561/65536\r\n" );
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document.write( "About 0.100112915 or about 0.1\r\n" );
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document.write( "Edwin

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