document.write( "Question 968819: Maddox has a container with 24 quarters, 12 dimes, 36 nickels, and 28 pennies. He selected one coin at random and returned it to the container. Then, he selected a second coin at random.\r
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document.write( "What is the probability that the first coin chosen is a quarter and the second coin chosen is a nickel? \n" );
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Algebra.Com's Answer #591967 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Think of the probability of an event as the fraction of the time the event\r\n" ); document.write( "will occur.\r\n" ); document.write( "\r\n" ); document.write( "There are 24+12+36+28=100 coins.\r\n" ); document.write( "\r\n" ); document.write( "He will choose a quarter the first time 24 times out of 100, or 24/100ths\r\n" ); document.write( "or 6/25ths of the time.\r\n" ); document.write( "\r\n" ); document.write( "Then out of each 100 times when he draws a quarter first, he will choose a nickel\r\n" ); document.write( "36/100ths or 9/25ths of those times.\r\n" ); document.write( "\r\n" ); document.write( "So he will draw a nickel second 9/25ths of the 6/25th of the time that he\r\n" ); document.write( "draws a quarter first.\r\n" ); document.write( "\r\n" ); document.write( "So the probability is (9/25)(6/25) = 54/625 or about 8.64% of the time.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |