Question

answer from the following table
men : vegetarian 5, non vegetarian 17
women vegetarian 15, non vegetarian 13
what is the probability of choosing a woman vegetarian when a person is chosen at random?

Answer 1

Dear student
$$\begin{gathered} \mathrm{Total}\mathrm{persons}\left(\mathrm{total}\mathrm{outcomes}\right)=\mathrm{vegetarian}\mathrm{men}+\mathrm{non}\mathrm{vegetarian}\mathrm{men}+\mathrm{vegetarian}\mathrm{women}+\mathrm{non}\mathrm{vegetarian}\mathrm{women} \\ =5+17+15+13 \\ =50 \\ \mathrm{and}\mathrm{vegetarian}\mathrm{women}\left(\mathrm{Favourable}\mathrm{outcomes}\right)=15 \\ \mathrm{P}\left(\mathrm{vegetarian}\mathrm{women}\right)=\frac{\mathrm{Favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{outcomes}}=\frac{15}{50}=\frac{3}{10} \end{gathered}$$
Regards