SOLUTION: 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. Wh

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?
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
let MB=prob with motherboards
let HD problems with hard drive
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
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This means that P(no MB or HD)= 1-0.55=0.45
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