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Two mutually exclusive events having positive probabilities are ______________ dependent. A....

Question:

Two mutually exclusive events having positive probabilities are {eq}\_\_\_\_\_\_\_\_\_\_\_\_\_\_\ {/eq} dependent.

A. Sometimes.

B. Always.

C. Never.

Mutually exclusive and independent events:

Mutually Exclusive events- 2 events are mutually exclusive if both of them can not occur simultaneously.

Independent Events- 2 events are independent if probability of occurrence of one does not affect the probability of occurrence of the other.

Answer and Explanation:

If two events are mutually exclusive , then

{eq}\\ P(A\cap B)=0\\ {/eq}

And if two events are independent, then

{eq}\\ P(A\cap B)=P(A)P(B)\\ {/eq}

Therefore if probability of occurrence of one of the events is zero then the events are both mutually exclusive and independent.

But, according to question, the probabilities are not zero.

therefore the correct choice is NEVER


Learn more about this topic:

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Mutually Exclusive Events & Non-Mutually Exclusive Events

from 6th-8th Grade Math: Practice & Review

Chapter 48 / Lesson 5
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