Question:

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
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The Correct Option is D

Approach Solution - 1

The correct option is (D): Independent.
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Approach Solution -2

The question describes two events where the outcome of one does not affect the other, and asks what such events are called. Let's check each term.

  1. Mutually exclusive: Two events are mutually exclusive when they cannot both happen at the same time, for example rolling a 2 and a 5 on one die throw. This describes events that block each other, not events that simply do not affect each other's chances.
  2. Dependent: Dependent events are the opposite of what is described here, since the outcome of one event does change the probability of the other, such as drawing cards from a deck without replacement.
  3. Either dependent or independent: This is not a specific defined relationship in probability. The question describes one precise property, so a vague either-or label does not fit.
  4. Independent: Two events are independent exactly when the outcome of one has no effect on the probability of the other, written as \( P(A \mid B) = P(A) \). This matches the description in the question exactly.

Only the term independent captures the idea that one event's outcome leaves the other event's probability unchanged.

Therefore, the correct answer is Independent.

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