Mathematics - Probability Question with Solution | TestHub

$$S=\{00,01,02,\dots .49\}$$ Let $A$ be the even that sum of the digits on the selected ticket is 8 then $$A=\{08,17,26,35,44\}$$ Let $B$ be the event that the product of the digits is zero $$B=\{00,01,02,03,\dots .09,10,20,30,40\}$$ $A\cap B=\{8\}$ $$\text{ Required probability }=P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{\frac{1}{50}}{\frac{14}{50}}=\frac{1}{14}$$