Answer:
5/126
Step-by-step explanation:
Let's go through this scenario step-by-step. At the beginning, we have a 5/9 possibility of picking a boy - 5 boys out of 9 students. If we pick 1 boy, we now have 4 boys out of 8 students we could potentially pick, giving us a 4/8 or 1/2 chance of picking a second boy after the 1st. For the third boy, we have 3 out of 7 remaining students, giving us a 3/7 chance of picking a third after the first two, and for the fourth boy, we 2 possibilities out of 6, giving us a 2/6 or 1/3 chance of picking the 4 boys.
To find the total probability, we can multiply all of these individual ones together:
[tex]\frac{5}{9} \cdot\frac{1}{2} \cdot\frac{3}{7} \cdot\frac{1}{3}\\\\=\frac{5}{9} \cdot\frac{1}{2} \cdot\frac{1}{7}\\\\=\frac{5}{126}[/tex]
