Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Probability Topics › Two events are mutually exclusive. What does tha…
Two events are mutually exclusive. What does that say about their intersection?
AThe intersection carries a probability of one
BThe intersection equals the whole sample space
CThe intersection carries a probability of zero
DThe intersection equals the product of the two
Answer & Solution
Correct answer: C. The intersection carries a probability of zero
1. Mutually exclusive events cannot occur at the same time.
2. So no outcome belongs to both, and the two events share nothing.
3. Their intersection is therefore empty and carries a probability of zero.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.2 Independent and Mutually Exclusive Events_
Related questions
An experiment whose result is not predetermined is called a:A conditional probability differs from an ordinary one because the count is divided by:On a fair six-sided die, the outcome of any one face is:A sample space can be represented by listing outcomes, by a Venn diagram, or by a:Sampling without replacement makes successive picks dependent because:Sampling with replacement means each member picked:Two events are independent when the outcome of the first:Independent and mutually exclusive are terms that: