Question

3. A committee is formed consisting of four executives, two women (Susan and Mary) and two men (Bill and Peter). A chairperson and a secretary are selected randomly by drawing straws a) List the sample space and the outcomes comprising each of the following events (you can use shorthand notation for names, a table etc.) A fa woman is appointed chairperson, B-Bi is appointed secretary, C Mary is appointed secretary, AUB,AUBUC, AnB, BnC, AUB, AnB'. b) Find the probabilities of these nine events and P(A | B), P(BỊA), P(C | B). c) Are the events A and B independent?

Answer 1