Which of the following is true about mutually exclusive?
Robert Miller
Updated on February 11, 2026
The last statement is true. Mutually exclusive events are events that cannot happen at the same time, such as going both left and right on a forked road or getting both heads and tails in a coin flip.
What does it mean for three events to be mutually exclusive?
Three events are mutually exclusive if at least one event has no common outcome with at least one other event.
What does not mutually exclusive mean?
If two events are mutually exclusive, it means that they cannot occur at the same time. Rain and sunshine are not mutually exclusive (that is, they can occur together), as shown by this image of a sunshower. Photo by Wikimedia Commons.
What is a mutually exclusive project?
Mutually exclusive projects are capital projects which compete directly with each other. For example, if a manager has to make a choice strictly between undertaking either project X or Y, but not both of them concurrently, then projects X and Y are said to be mutually exclusive.
Can two events be mutually exclusive and independent?
Mutually exclusive events cannot happen at the same time. For example: when tossing a coin, the result can either be heads or tails but cannot be both. This of course means mutually exclusive events are not independent, and independent events cannot be mutually exclusive.
Are the two events mutually exclusive?
Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.
How do you know if an event is mutually exclusive?
In statistics and probability theory, two events are mutually exclusive if they cannot occur at the same time. The simplest example of mutually exclusive events is a coin toss. A tossed coin outcome can be either head or tails, but both outcomes cannot occur simultaneously.
What would you use to evaluate a mutually exclusive project?
Methods used by Companies to Evaluate Mutually Exclusive Projects
- NPV refers to the present value.
- It is nothing but the discount rate that would make all of the present values of cash flows equal to the initial outlay.
- The payback Period.
