Three coins are tossed. Describe Two events which are mutually exclusive.

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14.Probability

easy

Three coins are tossed. Describe Two events which are 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 mutually exclusive can be

$A:$ getting no heads and $B:$ getting no tails

This is because sets $A=\{T T T\}$ and $B=\{H H H\}$ are disjoint.

Standard 11

Mathematics

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