document.write( "Question 1144288: In buying a particular car model, Jay may choose between automatic or manual transmission, and among four colors, black, white, silver, and maroon. use tabular method to obtain the sample space. \n" ); document.write( "
Algebra.Com's Answer #765385 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The simple solution to the problem is this:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " You have two options to choose a transmission type and four options to choose a color.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " These options are independent.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " So, according to the fundamental counting principle, there are 2*4 = 8 options to choose, in all.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now, if you want to represent the sample space, do the following.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Let the letters A and M represent Automatic or Manual transmissions, and\r\n" ); document.write( "\r\n" ); document.write( " let the letters B,W, S and M represent your colors.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the sample space is this table of 2-letter words\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " AB\r\n" ); document.write( "\r\n" ); document.write( " AW\r\n" ); document.write( "\r\n" ); document.write( " AS\r\n" ); document.write( "\r\n" ); document.write( " AM\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " MB\r\n" ); document.write( "\r\n" ); document.write( " MW\r\n" ); document.write( "\r\n" ); document.write( " MS\r\n" ); document.write( "\r\n" ); document.write( " MM\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "First letter in each word represents the type of the transmission (A or M).\r\n" ); document.write( "\r\n" ); document.write( "The second letter in each word represents the color.\r\n" ); document.write( "\r\n" ); document.write( "Now calculate the number of 2-letter words in this table, using your fingers.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "At this point, the problem is just solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Is it clear what I said and explained to you ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Come again to this forum soon to learn more (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |