Question

Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number, and let F be the subset of outcomes in which at least one die shows an odd number. List the elements in the given subset.

E'

(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)

(1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5), (2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)

     

(2, 2), (2, 4), (2, 6), (4, 6)

(1, 1),(1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5)

(1, 1), (1, 3), (1, 5), (3, 5)

Answer 1

dice We are ginen the expeuiment tuallig tuo Sample space, S, R; C1,),1,2), (1, 3) ,(1, 4) , C1, s) , (1, 6) (2,), (2,2), 12, 3), (2,4), (2,5), (2,6) (3, ), (3,2), 3, 3), 13,4), (3 S), (3, 4) (4,1) 14,2), 14,3), (4,4), 45), 14,4) IS,D, (S,2), (5,3), (5,4), (S S), (s,6) C4,1), 14,2), 14,3), 16,4) , (6,5), (6,6) sutcomes inhich at Jeart ene die shous E = nunber euen /1,2),C1,4), 1,6), (2,1), (2,2) , (2,3) 12,4), (2,5), (2,6) , (3,2), 134), 13,4) (4,1), L4,2), 4,3), C44), 14, s), (4,6) (2)15,4) (5,6) 16,D 14,4), 4,5), C6, 4) E = (4,3) , (4,2), YwOw Outcomes in hich at leat one die houus cdd numbes F an C1,D, 0,2),1,3), (1, 4), 1,5), (1, ), 12,13, (23), C25), (3,),(32), (33), (3,4), C3 s), (3,6), (4,1), (4,3), (4,5), (5,), 1S2), (53), (5,4), (5,5), (5,), 14,1), 14,3), 4, 5) F Now E' E 1,1),1,3), 0, S), (3), (3,3), 13,5), 3 E' S,), (S,3), 1s, s) And F' C2,2), (2, 4), 2, 6) , ( 4,2), (4,4), (4,), (4,2), l6, 4) , (4, 4)