A class has 4 girls and 5 boys. 3 students are chosen at random to form a team. Find the probability that all the students chosen are girls.
Remember: The order of drawing does not matter. Count the ways of choosing from the wanted group, and divide by the ways of choosing from everything.
- Ways of choosing 3 from all 9: ⁹C₃ = 84.
- Ways of choosing 3 from the 4 wanted: ⁴C₃ = 4.
- The probability is 484, which is 1/21.