• # question_answer In a lottery, there are 10 prizes and 45 blanks. A lottery is drawn at random. What is the probability of getting a prize? A) $\frac{1}{10}$                          B)  $\frac{2}{5}$C)  $\frac{2}{11}$    D)  $\frac{5}{7}$

(c): P (getting a prize) $=\frac{10}{\left( 10+45 \right)}=\frac{10}{55}=\frac{2}{11}.$ Let E = event of getting a face card. Then, $n\left( E \right)=12.$ $\therefore p(E)=\frac{n(E)}{n(S)}=\frac{5}{200}=\frac{1}{40}$