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Three coins are tossed. Describe (iii) Two events, which are not mutually exclusive.

5.    Three coins are tossed. Describe

(iii) Two events, which are not mutually exclusive.

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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 at least one head = {HHH, HHT, HTH, THH, TTH}

B = Getting at most one head = {TTH, TTT}

Clearly, A  $\cap$  B  = {TTH} $\neq$ $\phi$

Hence, A and B are two events which are not mutually exclusive.

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