Algebra 2 and Tignometry!!! help meeeeee

Question

A large college class has 54 women and 42 men as students. Ten of the students are chosen at random.
26. What is the probability that the chosen group of 10 will include 5 women and 5 men? Give your answer in four decimal places.
27. List all the possible makeup of the group that has a probability of less than 1%. give your probability to 4 decimal places.

Answer 1

26.  This is easy; please learn from this example.

 

P(5 women, 5 men) = ₅₄C₅•₄₂C₅ / ₉₆C₁₀

 

27. What a tedious task!