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5.  Three coins are tossed. Describe

  (iv) Two events which are mutually exclusive but not exhaustive.

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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 head = {HTT, THT, TTH}

B = Getting exactly one tail = {HHT, HTH, THH}

Clearly, A  \cap  B  = \phi

Hence, A and B are mutually exclusive.

Also, A  \cup  B  \neq S

Hence, A and B are not exhaustive.

Posted by

HARSH KANKARIA

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