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

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14.Probability

easy

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

Option A

Option B

Option C

Option D

Solution

When three coins are tossed, the sample space is given by

$S =\{ HHH , \,HHT , \,HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$

Two events that are not mutually exclusive can be

$A:$ getting three heads

$B:$ getting at least $2$ heads

ie. $A=\{H H H\}$

$B =\{ HHH , \,HHT , \,HTH ,\, THH \}$

This is because $A \cap B=\{H H H\} \neq \phi$

Standard 11

Mathematics

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