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

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

             (i) A and B are mutually exclusive

Answers (1)

best_answer

Here,

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)}

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

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

A \cap B = \phi , since A and B have no common element amongst them.

Hence, A and B are mutually exclusive. TRUE

Posted by

HARSH KANKARIA

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