Question:
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: A random variable is a numerical description of the outcome of an experiment. Reason R: The particular numerical value of a random variable does not depend on the outcome of the experiment.
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: A random variable is a numerical description of the outcome of an experiment. Reason R: The particular numerical value of a random variable does not depend on the outcome of the experiment.
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A random variable assigns numbers to outcomes. Its value depends on which outcome occurs.
Updated On: May 22, 2026
- Both A and R are correct and R is the correct explanation of A
- Both A and R are correct but R is NOT the correct explanation of A
- A is correct but R is not correct
- A is not correct but R is correct
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The Correct Option is C
Solution and Explanation
Concept: A random variable assigns a numerical value to each possible outcome of a random experiment.
Step 1: Check Assertion A.
A random variable is a numerical description of the outcome of an experiment. This is correct. For example, if a coin is tossed twice, the random variable \(X\) may represent the number of heads. \[ X=\text{Number of heads} \]
Step 2: Check Reason R.
Reason R says the numerical value of a random variable does not depend on the outcome of the experiment. This is incorrect. Actually, the value of a random variable depends directly on the outcome. \[ \text{Outcome} \Rightarrow \text{Value of random variable} \]
Step 3: Choose the correct option.
Since Assertion A is correct but Reason R is incorrect, the correct answer is option (C).
Step 1: Check Assertion A.
A random variable is a numerical description of the outcome of an experiment. This is correct. For example, if a coin is tossed twice, the random variable \(X\) may represent the number of heads. \[ X=\text{Number of heads} \]
Step 2: Check Reason R.
Reason R says the numerical value of a random variable does not depend on the outcome of the experiment. This is incorrect. Actually, the value of a random variable depends directly on the outcome. \[ \text{Outcome} \Rightarrow \text{Value of random variable} \]
Step 3: Choose the correct option.
Since Assertion A is correct but Reason R is incorrect, the correct answer is option (C).
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