document.write( "Question 1176649: A sign reads “ALABAMA”, a drunk man removed 4 letters and then returned back
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document.write( "randomly into the four empty spaces again. What is the probability that the sign
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document.write( "still reads “ALABAMA”?
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Algebra.Com's Answer #804186 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "The above is wrong. \n" ); document.write( " \n" ); document.write( "A sign reads “ALABAMA”, a drunk man removed 4 letters and then returned back \n" ); document.write( "randomly into the four empty spaces again. What is the probability that the \n" ); document.write( "sign still reads “ALABAMA”? \r\n" ); document.write( "The order he places them on the sign doesn't matter, for if he picked the 4\r\n" ); document.write( "A's, the sign will read \"ALABAMA\" regardless of where he puts them, and if he\r\n" ); document.write( "didn't pick them, it won't spell \"ALABAMA\", no matter where he puts them.\r\n" ); document.write( "\r\n" ); document.write( "So there is only 1 way he can succeed, and that's by choosing the 4 A's.\r\n" ); document.write( "\r\n" ); document.write( "The number of ways he can pick any 4 of the 7 letters is \"7 letters choose 4\" or\r\n" ); document.write( "C(7,4) = 35.\r\n" ); document.write( "\r\n" ); document.write( "So the probability is 1 way out of 35 or 1/35. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |