Q:

Let a coin and a die be tossed, let the sample space consists of the twelve elements

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Let a coin and a die be tossed, let the sample space consists of the twelve elements:
S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
A={H2,H4,H6}
B={H2,H3,H5,T2,T3,T5}
C={T1,T3,T5}
 Express explicitly the event that:
(i)A or B occurs
(ii)B and C occurs
(iii)only B occurs

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(i)A or B=A∪B={H2,H3,H4,H5,H6,T2,T3,T5}
(ii)B and C=B∩C={T3,T5}
(iii)choose those elements of B which do not lie in A and c
B∩A ̅∩C ̅={H3,H5,T2} 

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