document.write( "Question 550207: a two digit number is formed using digits 3,4,5,6 and 7 without replacement.what is the probability that the number is a multiple of 3. \n" ); document.write( "
Algebra.Com's Answer #358672 by TutorDelphia(193) You can put this solution on YOUR website! There are 20 possible outcomes (you have 5 choices for the first digit and 4 for the second 5*4=20): \n" ); document.write( "34 no \n" ); document.write( "35 no \n" ); document.write( "36 yes \n" ); document.write( "37 no\r \n" ); document.write( "\n" ); document.write( "43 no \n" ); document.write( "45 yes \n" ); document.write( "46 no \n" ); document.write( "47 no\r \n" ); document.write( "\n" ); document.write( "53 no \n" ); document.write( "54 yes \n" ); document.write( "56 no \n" ); document.write( "57 yes\r \n" ); document.write( "\n" ); document.write( "63 yes \n" ); document.write( "64 no \n" ); document.write( "65 no \n" ); document.write( "67 no\r \n" ); document.write( "\n" ); document.write( "73 no \n" ); document.write( "74 no \n" ); document.write( "75 yes \n" ); document.write( "76 no\r \n" ); document.write( "\n" ); document.write( "Desired outcomes are multiples of 3. The quick way to see if something is a multiple of 3 is to see if its digits add up to a multiple of 3 (its a math trick). See the yes and no's above for which ones are multiples of 3.\r \n" ); document.write( "\n" ); document.write( "So the ones we want are 6 and the total is 20\r \n" ); document.write( "\n" ); document.write( "so 6/20 reduces to 3/10 \n" ); document.write( " |