Let ' A ' be the event of smokers and non-vegetarian. Let ' B ' be the event of smokers and vegetarian. Let ' C ' be the event of non-smokers and vegetarian. Let ' E ' be the event of chest disorders. According to question, P(A)=400160​=52​,P(B)=400100​=41​,P(C)=400140​=207​P(AE​)=35%=10035​,P(BE​)=10020​,P(CE​)=10010​ Thus, P(EA​)=P(A)⋅P(AE​)+P(B)P(BE​)+P(C)P(CE​)P(A)⋅P(AE​)​=52​⋅10035​+41​⋅10020​+207​⋅10010​52​⋅10035​​=10014​+1005​+1002​14​