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Complementary Event

State whether...

Question

State whether the given statement is true or false:

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.

Complementary events are mutually exclusive, and vice versa.

State whether the given statement is true or false:

Two mutually exclusive events can be independent in some cases.

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 .

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B

are mutually exclusive.

i i .

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A

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are mutually exclusive and exhaustive.

i i i .

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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 .

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A', B', C

are mutually exclusive and exhaustive.

Events E and F are such that P(not E or Not F) = 0.25 state whether E and F are mutually exclusive.

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