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Get Answers to all your Questions
5. Three coins are tossed. Describe
(v) Three events which are mutually exclusive but not exhaustive
Answers (1)
Sample space when three coins are tossed = [Sample space when a coin is tossed thrice!]
S = {HHH, HHT, HTH, HTT, THH, TTH, THT, TTT}
Let ,
A = Getting exactly one tail = {HHT, HTH, THH}
B = Getting exactly two tails = {HTT, TTH, THT}
C = Getting exactly three tails = {TTT}
Clearly, A B =
; B
C =
; C
A =
Since (A and B), (B and C) and (A and C) are mutually exclusive
Therefore A, B and C are mutually exclusive.
Also,
A B
C = {HHT, HTH, THH, HTT, TTH, THT, TTT}
S
Hence A, B and C are not exhaustive events.
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