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A fair six-sided die is rolled. What is the probability that the outcome is seven?
AThe probability is 1/6
BThe probability is 1/7
CThe probability is 6/7
DThe probability is 0
Answer & Solution
Correct answer: D. The probability is 0
1. The sample space of a six-sided die holds only the faces 1 to 6.
2. Seven is not in that sample space, so no outcome can produce it.
3. An event that can never happen has probability zero.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.1 Terminology_
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