A die is rolled. Let E be event "die shows 4 " and F be event "die shows even number&

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14.Probability

easy

A die is rolled. Let $E$ be the event "die shows $4$ " and $F$ be the event "die shows even number". Are $E$ and $F$ mutually exclusive ?

Option A

Option B

Option C

Option D

Solution

When a die is rolled, the sample space is given by

$S =\{1,2,3,4,5,6\}$

Accordingly, $E =\{4\}$ and $F =\{2,4,6\}$

It is observed that $E \cap F=\{4\} \neq \phi$

Therefore, $E$ and $F$ are not mutually exchasive events.

Standard 11

Mathematics

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