document.write( "Question 394616: Suppose that after 10 years of service, 40% of computers have problems with motherboards (MB), 30% have problems with hard drive (HD), and 15% have problems with both MB and HD. What is the probability that a 10-year old computer still has fully functioning MB and HD? \n" ); document.write( "
Algebra.Com's Answer #280057 by jrfrunner(365)\"\" \"About 
You can put this solution on YOUR website!
let MB=prob with motherboards
\n" ); document.write( "let HD problems with hard drive\r
\n" ); document.write( "\n" ); document.write( "P(problems with MB or HD)=P(MB U HD)=P(MB)+P(HD)-P(MB n HD)=0.4+.3-.15=.7-.15=.55
\n" ); document.write( "--
\n" ); document.write( "This means that P(no MB or HD)= 1-0.55=0.45
\n" ); document.write( "
\n" );