document.write( "Question 475455: Two digits are randomly selected without repetition, compute probability tha their sm is odd... also that their product is odd \n" ); document.write( "
Algebra.Com's Answer #326082 by Edwin McCravy(20060) You can put this solution on YOUR website! For the sum being ODD is solved here:\r \n" ); document.write( "\n" ); document.write( "http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=475441\r \n" ); document.write( "\n" ); document.write( "For the product being ODD\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "EVEN × EVEN = EVEN\r\n" ); document.write( "EVEN × ODD = EVEN\r\n" ); document.write( "ODD × EVEN = EVEN\r\n" ); document.write( "ODD × ODD = ODD\r\n" ); document.write( "\r\n" ); document.write( "So to have their product odd, they have to both be odd.\r\n" ); document.write( "\r\n" ); document.write( "The digits are\r\n" ); document.write( "\r\n" ); document.write( "0,1,2,3,4,5,6,7,8,9\r\n" ); document.write( "\r\n" ); document.write( "5 are ODD and 5 are EVEN.\r\n" ); document.write( "\r\n" ); document.write( "After we have chosen the first digit, there are only 9 digits \r\n" ); document.write( "left to choose from:\r\n" ); document.write( "\r\n" ); document.write( "P[(odd 1st AND odd 2nd) =\r\n" ); document.write( "\r\n" ); document.write( "AND indicates multiplication:\r\n" ); document.write( "\r\n" ); document.write( " P(odd 1st)×P(odd 2nd) =\r\n" ); document.write( "\r\n" ); document.write( " (5/10)(4/9) \r\n" ); document.write( "\r\n" ); document.write( " (1/2)(4/9) \r\n" ); document.write( "\r\n" ); document.write( " 4/18\r\n" ); document.write( "\r\n" ); document.write( " 2/9 \r\n" ); document.write( " \r\n" ); document.write( "Edwin\n" ); document.write( " |