document.write( "Question 1007623: In a class of 60 students, 41 are democrats, 9 are business majors and 4 of the business majors are democrats. If one student is randomly selected from the class,find the probability of selecting a democrat or a business major. \n" ); document.write( "

Algebra.Com's Answer #623580 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "In a class of 60 students , 41 are democrats ,9 are business majors and 4 of the business majors are democrats.
\n" ); document.write( "If one student is randomly selected from the class, find the probability of selecting a democrat or a business major.
\n" ); document.write( "-------------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The mathematical model is as follows.\r\n" );
document.write( "\r\n" );
document.write( "There is a set C consisting of 60 elements (the class).\r\n" );
document.write( "\r\n" );
document.write( "There is a subset D in C of 41 elements (democrats).\r\n" );
document.write( "\r\n" );
document.write( "There is a subset B in C of 9 elements (business majors).\r\n" );
document.write( "\r\n" );
document.write( "Intersection of D and B consists of 4 elements.\r\n" );
document.write( "\r\n" );
document.write( "Then the union of D and B contains 41 + 9 - 4 elements, i.e. 46 students.\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the probability that randomly selected from the class student is a democrat or a business major equals  = . \r\n" );
document.write( "

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

\n" );