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Question 1
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Let A and B be two events defined on a sample space $\Omega$. Suppose $A^C$ denotes the complement of A relative to the sample space $\Omega$. Then the probability $P\Bigg{(}(A\cap{B}^C)\cup({A}^C\cap B)\Bigg{)}$ equals
A.
$$P(A)+P(A)+P(A\cap B)$$
B.
$$P(A)+P(A)-P(A\cap B)$$
C.
$$P(A)+P(A)+2P(A\cap B)$$
D.
$$P(A)+P(A)-2P(A\cap B)$$
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