Question:medium

If one event is unaffected by the outcome of another event, the two events are said to be:

Updated On: Jul 14, 2026
  • Mutually exclusive
  • Dependent
  • Either dependent or independent
  • Independent
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
The question describes a relationship between two events where one event happening does not change the chance of the other happening.

Step 2: Key Concept or Approach:
In probability, this exact relationship has a name: two events are independent when \( P(A \mid B) = P(A) \), meaning knowing that B occurred gives no new information about A.

Step 3: Detailed Explanation:
Mutually exclusive events cannot occur together at all, which is a different idea from one event not affecting another.
Dependent events are ones where the outcome of one does change the probability of the other, the opposite of what is described.
There is no standard term "either dependent or independent" used to describe a specific relationship, so it does not fit.
The description given, unaffected by the outcome of another event, is the textbook definition of independent events.

Step 4: Final Answer:
The two events described are independent.
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