Question

There are 23 learners in a Grade 6 classroom; 13 boys and 10 girls. The teacher chooses two different learners at random to answer questions. Calculate the probability that both learners are girls

Answer 1

$$P(2\ girls)=\dfrac{\dbinom{13}{0}\dbinom{10}{2}}{\dbinom{23}{2}}=\dfrac{1(45)}{253}=\dfrac{45}{253}$$