document.write( "Question 1195870: A poll shows that 70% of all voters approve of the mayor's work. On three separate occasions a pollster selects a voter at random. What is the probability that on exactly one of these three occasions the voter approves of the mayor's work?\r
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\n" ); document.write( "\n" ); document.write( "The explanation on aops was not detailed enough for me, especially the part where it says \"%280.7%29%280.3%29%5E2%29\"
\n" ); document.write( "https://artofproblemsolving.com/wiki/index.php/2008_AMC_10B_Problems/Problem_17\r
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Algebra.Com's Answer #828459 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "if given that \"70\"% of all voters approve of the mayor's work, then \"30\"% of all voters disapprove of the mayor's work\r
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\n" ); document.write( "\n" ); document.write( "using binomial distribution formula\r
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\n" ); document.write( "\n" ); document.write( "\"nCx+%2A+P%5Ex+%2A+%281+-+P%29%5E%28n+-+x%29\"\r
\n" ); document.write( "\n" ); document.write( "we find the number of ways only \"1\" person approves (\"+nCx+\") of the mayor multiplied by the probability \"1\" person approves(\"+P%5Ex+\") and\"+2\" people disapprove ( \"%281+-+P%29%5E%28n+-+x%29\" )\r
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\n" ); document.write( "\n" ); document.write( "the number of ways only \"1\" person approves is \"x%7D%7D+of+%7B%7B%7Bn%7D%7D+persons%0D%0A%0D%0A%7B%7B%7BP=probability\" (is given)\r
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\n" ); document.write( "\n" ); document.write( "\"3C1+%2A0.7%5E1%281-0.+7%29%5E%283-1%29\" since \"+3C1=3%21%2F%28%283-1%29%21%2A1%21%29=3\"
\n" ); document.write( "=\"3%2A0.7%5E1%28.+3%29%5E2\"
\n" ); document.write( "=\"3%2A0.+7%2A0.+09\"
\n" ); document.write( "=\"0.+189\"\r
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