Question

In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are the opposite gender?

Answer 1

number of different pairs the teacher can choose= nCr (18+14, 2)=496

no. of opposite gender pairs possible= 14 (since there are only 14 boys)

probability = 14/496= 7/248