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Complementary Event

Complementary...

Question

Complementary events are mutually exclusive, and vice versa.

A

True

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B

False

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Solution

The correct option is B
False

Complementary events are mutually exclusive, but all mutually exclusive events are not necessarily complementary.

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Similar questions

State whether the given statement is true or false:

Complementary events are mutually exclusive, and vice versa.

Q. In a single throw of a die, the events

{1, 2}

{2, 3}

are mutually exclusive. Write 1 if true and 0 if false.

Q. Two dice are thrown. The events

A, B and C

are as follows:

A :

getting an even number on the first die.

B :

getting an odd number on the first die.

C :

getting the sum of the numbers on the dice

\leq 5

i .

State true or false: (give reason for your answer)

A

B

are mutually exclusive.

i i .

State true or false: (give reason for your answer)

A

B

are mutually exclusive and exhaustive.

i i i .

State true or false: (give reason for your answer)

A = B'

i v .

State true or false: (give reason for your answer)

A

C

are mutually exclusive.

v .

State true or false: (give reason for your answer)

A

B^{'}

are mutually exclusive.

v i .

State true or false: (give reason for your answer)

A', B', C

are mutually exclusive and exhaustive.

State whether the given statement is true or false:

Two mutually exclusive events can be independent in some cases.

Assertion: In rolling a dice, event A = {1, 3, 5} and event B = {2, 4} are mutually exclusive events.
Reason: In a sample space, two events are mutually exclusive if they do not occur at the same time.

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