2. A company has 4 employees named Joe, Steve, Mary, and Alice (abbreviate the n

Question

2. 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 d. List the outcomes/elements in the event An B.

Explanation / Answer

A) A = {(J, M), (J, A), (S, M), (S, A)}

B) B = {(J, M), (J, A), (S, M), (S, A), (M, A)}

C) Ac = {(J, S), (M, A)}

D) A n B = {(J, M), (J, A), (S, A), (S, M)}

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