Questions: Events that are disjoint cannot occur at the same time.
double-counted
independent
unusual
disjoint
Transcript text: Events that are $\square$ cannot occur at the same time.
double-counted
independent
unusual
disjoint
Solution
Solution Steps
To determine which type of events cannot occur at the same time, we need to understand the definitions of the given terms. Events that cannot occur simultaneously are known as "disjoint" or "mutually exclusive" events. Therefore, the correct term to fill in the blank is "disjoint."
Step 1: Identify the Types of Events
We are given four types of events: "double-counted," "independent," "unusual," and "disjoint." We need to determine which of these events cannot occur at the same time.
Step 2: Define the Terms
Double-counted: This refers to counting the same event more than once, which does not pertain to simultaneous occurrence.
Independent: Events are independent if the occurrence of one does not affect the occurrence of the other.
Unusual: This term describes events that are not typical but does not imply anything about simultaneous occurrence.
Disjoint: Events are disjoint (or mutually exclusive) if they cannot occur at the same time.
Step 3: Determine the Correct Option
Among the options, "disjoint" is the term that specifically indicates events that cannot occur simultaneously. Therefore, the correct term to fill in the blank is "disjoint."
Final Answer
The answer is D (disjoint). Thus, we can express the final answer as follows: \\(\boxed{\text{disjoint}}\\).