A company has 4 employees named Joe, Steve, Mary, and Alice (abbreviate the names J, S,M and A). The company randomly selects two employees to be part of a committee. Joe and Steve are males, while Mary and Alice are females. The sample space for this is:
S = {(J, S),(J, M),(J, A),(S, M),(S, A),(M, A)}.
Denote the following events:
A = the event/set of picking exactly one female.
B = the event/set of picking at least 1 female.
a. Write out the event/set A
b. Write out the event/set B.
c. List the outcomes/elements in the event A^c
d. List the outcomes/elements in the event A ∩ B.