The Grammar club has 20 members: 10 boys and 10 girls. A 4-person committee is chosen at random. What is the probability that the committee has at least 1 boy?
Probability = [ 1 - P ( no boy) ] =
1 - C(10,4) / C(20,8) =
1 - 210 / 125970 =
4192 / 4199 ≈ .998 ≈ 99.8%