alleryStart learning →A fair six-sided number cube is rolled. What is the probability of rolling an odd number?
AIt is 1/6
BIt is 1/3
CIt is 2/3
DIt is 1/2
Answer & Solution
Correct answer: D. It is 1/2
1. The sample space is 1, 2, 3, 4, 5, 6, so it holds 6 equally likely outcomes.
2. The event rolling an odd number holds the outcomes 1, 3 and 5, so it has 3 members.
3. Divide the size of the event by the size of the sample space: 3/6.
4. That simplifies to 1/2.
5. Reporting 1/6 would give the chance of one particular face rather than of any odd face.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.7 Probability_
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