Which of the following statements best defines mutually exclusive events?
A. Two events are mutually exclusive if it is impossible for the two events to occur simultaneously.
B. Two events are mutually exclusive if the occurrence of one event has no effect on the
probability of the other.
C. Two events are mutually exclusive if the intersection between the sample spaces of the two
events is not empty.
D. Two events are mutually exclusive if the union of the sample spaces of the two events is not
empty.

Question

04-11-2021
Mathematics

Answered

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Which of the following statements best defines mutually exclusive events?
A. Two events are mutually exclusive if it is impossible for the two events to occur simultaneously.
B. Two events are mutually exclusive if the occurrence of one event has no effect on the
probability of the other.
C. Two events are mutually exclusive if the intersection between the sample spaces of the two
events is not empty.
D. Two events are mutually exclusive if the union of the sample spaces of the two events is not
empty.

Sagot :

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Angelcorrigan0566idn Angelcorrigan0566idn · Answer 1 · 2021-11-04T14:14:28-04:00

Angelcorrigan0566idn Angelcorrigan0566idn

04-11-2021

c is the correct answer

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Bhoopendrasisodiya34idn Bhoopendrasisodiya34idn · Answer 2 · 2022-05-11T05:55:53-04:00

The statements which best defines the mutually exclusive events is two events are mutually exclusive if it is impossible for the two events to occur simultaneously (A).

When two events are said to be mutually exclusive?

The two events area said to be mutually exclusive when the cannot be take place simultaneously. For the two events, A and B, to be mutually exclusive,

[tex]P(A\cap B)=0[/tex]

Properties of mutually exclusive event:

Mutually exclusive event can not occur simultaneously.
Probability of occurring the Mutually exclusive event for the same time is 0.
They are disjoint.

Thus, the statements which best defines the mutually exclusive events is two events are mutually exclusive if it is impossible for the two events to occur simultaneously (A).

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When two events are said to be mutually exclusive?

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