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Refer to question 6 above, state true or false: (give reason for your answer) (iv) A and C are mutually exclusive

7.(iv)    Refer to question 6 above, state true or false: (give reason for your answer) 

            (iv) A and C are mutually exclusive 

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Here,

S = {(x,y): 1 \leq x,y \leq 6}

A = {(2, 1), (2,2), (2,3), (2,4), (2,5), (2,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

C =  {(1, 1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)}

(iv) X and Y are mutually exclusive if and only if X \cap Y = \phi

\cap C = {(2,1), (2,2), (2,3), (4,1)} , 

Hence, A and B are not mutually exclusive. FALSE

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