Three coins are tossed. Describe Two events, which are not mutual… - Vidyadip

Question

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

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Answer

Given that three coins are tossed then sample space (S) is given by
S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
Let event A: getting at least two heads = {HHH, HHT, HTH, THH} and
event B: getting exactly two heads = {HHT, HTH, THH}
Now $\style{font-size:28px}{A\cap B=\{HHT,\;HTH,\;THH\}⧧\phi}$
$\therefore$ A and B are not mutually exclusive.

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