Events $E_{1}, E_{2}, . . . . E_{n}$ are ______ events if their union is the sample space $S$ .

complement

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exhaustive

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impossible event

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sure event

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Solution

The correct option is B exhaustive
When a sample space is distributed down into some mutually exclusive events such that their union forms the sample space itself, then such events are called exhaustive events.

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Similar questions

If $E_{1}, E_{2}, E_{3} \dots E_{n}$ are n events of a sample space S and if $E_{1} \cup E_{2} \cup E_{3} \cup \dots E_{n} = S$ , then $E_{1}, E_{2} \dots E_{n}$ are called mutually exclusive and exhaustive events.

Q. If events

E_{1}, E_{2}, . . ., E_{n}

represent a partition of sample space S.
Then which of the following is/are correct?

Q. The events

E_{1}, E_{2}, . . . . . . . .

represents the partition of the sample space

S

, if they are:

Q. For any two independent events

E_{1}

and

E_{2}

in a space

S, P [(E_{1} \cup E_{2}) \cap (E_{1} \cap E_{2})]

is equal to

Q. Consider the following statements:
1. If

A

and

B

are exhaustive events, then their union is the sample space.
2. If

A

and

B

are exhaustive events, then their intersection must be an empty event.
Which of the above statements is/are correct?

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Events E1,E2,....En are ______ events if their union is the sample space S.

The correct option is B exhaustiveWhen a sample space is distributed down into some mutually exclusive events such that their union forms the sample space itself, then such events are called exhaustive events.

Events $E_{1}, E_{2}, . . . . E_{n}$ are ______ events if their union is the sample space $S$ .

The correct option is B exhaustive
When a sample space is distributed down into some mutually exclusive events such that their union forms the sample space itself, then such events are called exhaustive events.