Question

There are $44$ students in class $X$ of a school of whom $32$ are boys and $12$ are girls. The class teacher has to select one student as a class representative. He writes the name of each student on a separate card, the cards being identical. Then he puts cards in a bag and stir them thoroughly. He then draws one card from the bag. What is the probability that the name written on the card is the name of a girl?

• A. $\frac{1}{11}$
• B. $\frac{5}{11}$
• C. $\frac{7}{11}$
• D. None of these
  

Answer 1

The correct option is D None of these

Total number of students $=44$

Total number of boys$=32$

Total number of girls$=12$

$P\left(A\right)=\frac{Numberoffavourableoutcomes}{TotalNumberofpossibleoutcomes}$

probability of getting name of a girl on a card $=P\left(A\right)=\frac{12}{44}$

$\therefore P\left(A\right)=\frac{3}{11}$

Hence, option $D$ is correct.