Question

a fair six-sided die is rolled. what is the probability of not rolling an even number?

\\(p(\text{not even}) = ?\\%\\)

round your answer to the nearest whole percent.

Explanation:

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<reasoning>

Determine the sample space

\[
S = \{1, 2, 3, 4, 5, 6\}, \quad n(S) = 6
\]

Identify the favorable outcomes

\[
E = \{1, 3, 5\}, \quad n(E) = 3
\]

Calculate the probability as a percentage

\[
P(\text{not even}) = \frac{3}{6} = 0.5 = 50\%
\]
</reasoning>

<answer>
A fair six-sided die is rolled. What is the probability of not rolling an even number?

\(P(\text{not even}) =\) <blank>50</blank>%

Round your answer to the nearest whole percent.
</answer>

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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Theoretical Probability"
]
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Answer:

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"Complementary Probability"
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}
</pre_analysis>

<reasoning>

Determine the sample space

\[
S = \{1, 2, 3, 4, 5, 6\}, \quad n(S) = 6
\]

Identify the favorable outcomes

\[
E = \{1, 3, 5\}, \quad n(E) = 3
\]

Calculate the probability as a percentage

\[
P(\text{not even}) = \frac{3}{6} = 0.5 = 50\%
\]
</reasoning>

<answer>
A fair six-sided die is rolled. What is the probability of not rolling an even number?

\(P(\text{not even}) =\) <blank>50</blank>%

Round your answer to the nearest whole percent.
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Theoretical Probability"
]
}
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