In a second grade class containing 15 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that both are girls? Select one:

Let the total number of students be \(15 + 9 = 24\). 1. The number of ways to select 2 girls out of 15 is given by \[ \binom{15}{2} = \frac{15 \times 14}{2} = 105. \] 2. The number of ways to select any 2 students out of 24 is \[ \binom{24}{2} = \frac{24 \times 23}{2} = 276. \] 3. Thus, the probability that both selected students are girls is \[ \frac{\binom{15}{2}}{\binom{24}{2}} = \frac{105}{276}. \] 4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 3: \[ \frac{105 \div 3}{276 \div 3} = \frac{35}{92}. \] The final probability is \(\frac{35}{92}\).