Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment. What is the probability that both students are girls?

Answer: [tex]\frac{3}{20}[/tex]Step-by-step explanation:Since, the number of boys = 15The number of girls = 10Total number of students = 15 + 10 = 25Thus, If two students are chosen then the probability that both are girls [tex]=\frac{^{10}C_2}{^{25}C_2}[/tex][tex]=\frac{\frac{10!}{2!(10-2)!}}{\frac{25!}{2!(25-2)!}}[/tex][tex]=\frac{\frac{10\times 9\times 8!}{2!8!}}{\frac{25\times 24\times 23!}{2!23!}}[/tex][tex]=\frac{5\times 9}{25\times 12}[/tex][tex]=\frac{45}{300}[/tex][tex]=\frac{3}{20}[/tex]Hence, the required probability is 3/20.