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%