document.write( "Question 668477: say there are 5 male undergraduates, 2 female undergrduates, 2 male graduates, and 2 female graduates. find the probability of selecting an undergraduate or a female? i thought it was (7+4)/11 but thats just one ... \n" ); document.write( "
Algebra.Com's Answer #415587 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
say there are 5 male undergraduates, 2 female undergrduates, 2 male graduates, and 2 female graduates. find the probability of selecting an undergraduate or a female? i thought it was (7+4)/11 but thats just one ...
\n" ); document.write( "
\r\n" );
document.write( "Your error is because when you add the 7 undergraduates and the 4\r\n" );
document.write( "females you are counting the 2 undergraduate females TWICE!  You are\r\n" );
document.write( "counting them once among the 7 undergraduates and again among the\r\n" );
document.write( "4 females.  Therefore you have to subtract those 2 once from the 7+4\r\n" );
document.write( "to keep from counting them twice. Therefore you get \"%287%2B4-2%29%2F11\" = \"9%2F11\".\r\n" );
document.write( "\r\n" );
document.write( "You can also make a chart:\r\n" );
document.write( "\r\n" );
document.write( "       -------------------------------------------\r\n" );
document.write( "       |   grad   |  undergraduate   ||  totals  |\r\n" );
document.write( "--------------------------------------------------\r\n" );
document.write( "male   |    2     |       5          ||    7     |\r\n" );
document.write( "--------------------------------------------------\r\n" );
document.write( "female |    2     |       2          ||    4     |\r\n" );
document.write( "==================================================\r\n" );
document.write( "totals |    4     |       7          ||   11     |\r\n" );
document.write( "\r\n" );
document.write( "You only want to count the red numbers which add up to 9,\r\n" );
document.write( "So the probability is \"9%2F11\"\r\n" );
document.write( "\r\n" );
document.write( "Or you can use the formula that the other tutor used:\r\n" );
document.write( "\r\n" );
document.write( "P(U or F) = P(U) + P(F) - P(U and F)\r\n" );
document.write( "          = \"7%2F11\" + \"4%2F11\" - \"2%2F11\"\r\n" );
document.write( "          = \"9%2F11\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "
\n" ); document.write( "
\n" );