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Standard XII

Mathematics

Mutually Exclusive Events

In throwing a...

Question

In throwing a die. Let $A$ be the event ''even number turns up'', $B$ be the event ''an odd prime number comes up'' and $C$ be the event ''a number less than $4$ turns up'', then which of the following events are exhaustive ?

(A, C)

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(A, B)

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(B, C)

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None of these

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Solution

The correct option is D None of these
Sample space of the experiment is
$S = {1, 2, 3, 4, 5, 6}$
$A = {2, 4, 6}$
$B = {3, 5}$
$C = {1, 2, 3}$
$∴ A \cup B \neq S,, B \cup C \neq S, A \cup C \neq S$

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Similar questions

Q. In throwing of a die, let

A

be the event 'even number turns up',

B

be the event 'an odd prime turns up' and

C

be the event 'a number less than

4

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Q. In throwing a die, which of the following set of events are exhaustive ?

A :

the events ''an odd number turns up'', ''a number

\leq 4

comes up'' and '' the number

5

turns up''.

B :

the events ''a number

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turns up'', ''a number

> 4

turns up''.

C :

the events '' an even number turns up'', '' a number divisible by

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turns up'', '' number

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2

turns up'' and '' the number

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be the event 'coming up of a number

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D

be the event 'coming up of a number

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be the event 'an odd number turns up',

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be the event 'a number divisible by

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Q. In throwing of a die, let

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be the event 'a number divisible by

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In throwing a die. Let A be the event ''even number turns up'', B be the event ''an odd prime number comes up'' and C be the event ''a number less than 4 turns up'', then which of the following events are exhaustive ?

The correct option is D None of theseSample space of the experiment is S={1,2,3,4,5,6} A={2,4,6} B={3,5} C={1,2,3} ∴A∪B≠S,,B∪C≠S,A∪C≠S

In throwing a die. Let $A$ be the event ''even number turns up'', $B$ be the event ''an odd prime number comes up'' and $C$ be the event ''a number less than $4$ turns up'', then which of the following events are exhaustive ?

The correct option is D None of these
Sample space of the experiment is
$S = {1, 2, 3, 4, 5, 6}$
$A = {2, 4, 6}$
$B = {3, 5}$
$C = {1, 2, 3}$
$∴ A \cup B \neq S,, B \cup C \neq S, A \cup C \neq S$