A die is thrown twice. Each time the number appearing on it is recorded. Describe the following events: A= both numbers are odd. B= both numbers are even. C= sum of the numbers is less that 6. Also, find `AuuB ,AnnB ,AuuC ,AnnC` . Which pairs of events are mutually exclusive?

Explanation

(i) A = both numbers are odd
= `{(1, 1); (1, 3), (1,5),(3.1),(3,3).(3.5), (5, 1), (5,3), (5. 5)}`


(ii) B = both numbers arc even
`{(2,2), (2, 4), (2,6), (4,2), (4,4), (4,6),(6, 2),(6,4),(6,6)}`


(iii) C = Sum of numbers is less than 6
= `{(1, 1),(1,2),(1,3),(1,4),(1,5),
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