alleryStart learning →A six-sided number cube is rolled once. What is the probability of rolling a number greater than 2?
A2/3
B1/2
C1/3
D5/6
Answer & Solution
Correct answer: A. 2/3
1. The sample space has six equally likely faces: 1 through 6.
2. The event contains the faces greater than 2, namely 3, 4, 5, and 6, which is four outcomes.
3. Divide outcomes in the event by outcomes in the sample space: 4/6 = 2/3.
4. Option B, 1/2, would count only three faces, as if the cutoff included the number 2 itself wrongly.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.7 PROBABILITY_
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