Question Number 104692 by 175mohamed last updated on 23/Jul/20

Answered by OlafThorendsen last updated on 23/Jul/20

Car∪Bus = Car⊕Bus−Car∩Bus Car∪Bus = 20+50−10 = 60% and Car∪Bus−Car∩Bus = 60−10 = 50% Car = 20% Bus = 50% AND(Car,Bus) = 10% OR(Car,Bus) = 60% XOR(Car,Bus) = 50%

Answered by 1549442205PVT last updated on 23/Jul/20

Denote A−set of the persons travel by car,B−by bus⇒A∩B− set of persons travel by both means (car and bus) From the hypothesis we have m(A)=20%,m(B)=50%,m(A∩B)=10% Since m(A∩B)=m(A)+m(B)−m(A∪B) ,so m(A∪B)=m(A)+m(B)−m(A∩B) =20%+50%−10%=60%