Three coins are tossed. Describe (i) Two events which are mutually exclusive. (ii) Three events which are mutually exclusive and exhaustive. (iii) Two events, which are not mutually exclusive. (iv) Two events which are mutually exclusive but not exhaustiv

Answer

N/a

Explanation

When three coins are tossed simultanesouly sample space `S={HHH,HHT,HTH,THH,H"TT",THT,"TT"H,"TTT"}`
Let some events are as follows:
`A={HHH}`
`B={HHT,HTH,THH}`
`C={H"TT",THT,"TT"H}`
`D={"TTT"}` and `E={HHT,THT,"TT"H,"TTT"}`
(i) A and D are mutually exclusive events.
(ii) A , B and E are mutually exclusive and exhaustive events.
`:' AnnB=phi,BnnE=phi,AnnE=phi` and `AuuBuuE=S`
(iii) D and E are not mutually exclusive events
`:' DnnE={"TTT"}`
(iv) B and C are mutually excusive but not exhaustive events.
`:'BnnC=phi` an `BuuC!=S`
(v) A,B and C are mutually exclusive events but notg exhaustive events.
`:' AnnB=phi,BnnC=phi,AnnC=phi`
and `AuuBuuC!=S`