10000 students 40 are male 2 students selected randomly what

10,000 students, 40% are male, 2 students selected randomly, what are the chances they are both male?

Solution

total students = 10000

total male students = 40%(10000) = 4000

probability (both selected students are male) = ⁴⁰⁰⁰C₂ / ¹⁰⁰⁰C₂ = (4000*3999)/(10000*9999) = 0.159