Three coins are tossed. Describe Three e | vedclass

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Question

When three coins are tossed, the sample space is given by

$S =\{ HHH , \,HHT , \,HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$

Three events th

Vedclass · Accepted Answer

Vedclass · Answer

When three coins are tossed, the sample space is given by

$S =\{ HHH , \,HHT , \,HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$

Three events that are mutually exclusive and exhaustive can be

$A:$ getting no heads

$B:$ getting exactly one head

$C:$ getting at least two heads

i.e. $A=\{T T T\}$

$B =\{ HTT , \, THT, \,TTH \}$

$C =\{ HHH , \,HHT ,\, HTH , \,THH \}$

This is because $A \cap B=B \cap C$ $=C \cap A=\phi$ and $A \cup B \cup C=S$

Three coins are tossed. Describe Three events which are mutually exclusive and exhaustive.

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