Question

In a lottery, there are 10 prizes and 20 blanks. What is the probability of getting a prize?

Answer 1

$$\begin{gathered} \mathrm{In}\mathrm{the}\mathrm{lottery}\mathrm{there}\mathrm{are}10\mathrm{prizes}\mathrm{and}20\mathrm{blanks}. \\ \mathrm{So},\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{choices}=10+20=30 \\ \mathrm{Number}\mathrm{of}\mathrm{ways}\mathrm{in}\mathrm{which}\mathrm{a}\mathrm{person}\mathrm{can}\mathrm{get}\mathrm{the}\mathrm{prize}=10 \\ \mathrm{so}\mathrm{favourable}\mathrm{number}\mathrm{of}\mathrm{ways}=10 \\ \mathrm{So}\mathrm{probability}\mathrm{of}\mathrm{getting}\mathrm{a}\mathrm{prize}=\frac{\mathrm{Favourable}\mathrm{number}\mathrm{of}\mathrm{ways}}{\mathrm{Totalnumber}\mathrm{of}\mathrm{ways}} \\ =\frac{10}{30}=\frac{1}{3} \end{gathered}$$