Question

QUESTION 3 Note for this question leave all answers in the form of C(Nw,kw) C(Nm,kmy/C(Nw,kw) C(Nm,km) Nw is the total number of women, kw is the number of women being chosen Nm is the total number of men, km is the number of men being chosen. where So if you are choosing 5 out of 12 people 3 out of 7 women and 2 out of 5 men. C(7,3)C(5,2/C(12,5) Note: Do not include combinations that are equivalent to 1 such as C(15,0) or C(15,15) A committee of 7 women and 9 men is to be chosen randomly from a group of 22 women and 33 men. 1. (5 points) What is the probability that Ann"(female) and her friend "Bob"(male) are on the committee together? 2. (5 points) What is the probability that Ann' (female) and her friend "Bob '(male) are on the committee and their friends "Carla' (female) and "Dan' (male) are also on the committee? 3. (5 points) Given that Carla" and "Dan" have been chosen to be on the committee, what is the probability that Ann" an her friend Bob" are chosen to be on committee? 4. (5 points) What is the probability that none of "Ann" Bob Carla", or "Dan" are chosen to be on the committee?

Answer 1