The sample space of a single throw of a fair six-faced die is
A$\{1, 2, 3, 4, 5, 6\}$
B$\{0, 1, 2, 3, 4, 5\}$
C$\{2, 4, 6\}$
D$\{1, 3, 5\}$
Answer & Solution
Correct answer: A. $\{1, 2, 3, 4, 5, 6\}$
1. NCERT §14.1 (Event): the sample space $S$ is the set of ALL possible outcomes of a random experiment.
2. A six-faced die can land on faces showing $1, 2, 3, 4, 5,$ or $6$.
3. So $S = \{1, 2, 3, 4, 5, 6\}$.
4. Option B starts at 0 — not how dice work. Option C is the EVEN-face subset; Option D is the ODD-face subset. Neither is the full sample space.
_Source: NCERT Class 11 Mathematics, Ch 14 "Probability", §14.1 (Sample space), p. 1._
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