Probability questions

Question

The sales force of business consists of 10 men and 10 women. A production unit of 5 people is set up at random.

a) what is the probability that it will consist of 2 men and 3 women?

b) what is the probability that it will consist of all men?

c) what is the probability that it will consist of at least 1 woman?

Answer 1

a)  [₁₀C₂•₁₀C₃] / ₂₀C₅

 

b)  ₁₀C₅ / ₂₀C₅        <<<all men

 

c)  1 - the probability in b above.