document.write( "Question 1163616: A survey of 200 college graduates who have been working for at least 3 years found that 90 owned only mutual funds, 20 owned only stocks, and 70 owned both.
\n" ); document.write( "What is the probability that an individual owns a stock? A mutual fund?
\n" ); document.write( "What is the probability that an individual owns neither stocks nor mutual funds?
\n" ); document.write( "What is the probability that an individual owns either a stock or a mutual fund? \n" ); document.write( "

Algebra.Com's Answer #787756 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "Ikleyn doesn't like Venn diagrams but prefers inclusion and exclusion\r\n" );
document.write( "formulas because they are quick and easy.  I prefer Venn diagrams because\r\n" );
document.write( "they show WHY, not just HOW.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since 90+70+20=180, then 200-180 = 20 for those outside the circle.\r\n" );
document.write( "\r\n" );
document.write( "What is the probability that an individual owns a stock? \r\n" );
document.write( "\r\n" );
document.write( "P(S) = (70+20)/200 = 90/200 = 9/20 = 0.45\r\n" );
document.write( "\r\n" );
document.write( "A mutual fund?\r\n" );
document.write( "\r\n" );
document.write( "P(M) = (90+70)/200 = 160/200 = 4/5 = 0.8\r\n" );
document.write( "\r\n" );
document.write( "What is the probability that an individual owns neither stocks nor mutual\r\n" );
document.write( "funds?\r\n" );
document.write( "\r\n" );
document.write( "P(M' and S') = 20/200 = 1/10 = 0.1\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "What is the probability that an individual owns either a stock or a mutual\r\n" );
document.write( "fund?\r\n" );
document.write( "\r\n" );
document.write( "P(S or M) = (90+70+20)/200 = 180/200 = 9/10 = 0.9\r\n" );
document.write( "\r\n" );
document.write( "or it's easier just to subtract the last answer from 1, 1 - 0.1 = 0.9\r\n" );
document.write( "\r\n" );
document.write( "Edwin \n" );
document.write( "

\n" );