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# Three coins are tossed. Describe (i) Two events which are mutually exclusive.

5.   Three coins are tossed. Describe

(i) Two events which are 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, THH, TTH, TTT}

(i)

A = Event that three heads show up = {HHH}

B = Event that three tails show up = {TTT}

$\cap$ B = {HHH} $\cap$ {TTT} = $\phi$ ; Hence A and B are mutually exclusive.

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