In throwing a pair of dice, find whether the two events
(i) E 1 : ‘coming up of an odd number on first dice’ and E 2 : ‘coming up of a total of 8’.
(ii) E 1 : ‘coming up of 4 on first dice’ and E 2 : ‘coming up of 5 on the second dice’.
are mutually exclusive or not
Text Solution
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(i) No (ii) No
Sol. (i) E 1 : {(1, 1) (1, 2).. (1, 6), (3, 1) … (3, 6), (5,1) (5,6)}
E 2 : {: (2, 6) (3, 6) (4, 4) (5, 3) (6, 2)}
(ii) E 1 : {(4,1) (4,2) ... (4,6)}
E 2 : {(1,5) (2,5) … (6,5)}
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