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

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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.

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