Question

a bag contains 8 red, 9 green, and 6 blue marbles. one marble is drawn at random. what is the probability that the marble is not red?

\\(p(\text{not red}) = \quad\\%\\)

Explanation:

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<reasoning>

Find the total number of marbles

\[
\text{Total} = 8 + 9 + 6 = 23
\]

Find the number of marbles that are not red

\[
\text{Not Red} = 9 \text{ (green)} + 6 \text{ (blue)} = 15
\]

Calculate the percentage probability

\[
P(\text{not red}) = \frac{15}{23} \approx 0.65217 \approx 65.2\%
\]
</reasoning>

<answer>
A bag contains 8 red, 9 green, and 6 blue marbles. One marble is drawn at random. What is the probability that the marble is not red?

\(P(\text{not red}) =\) <blank>\(65.2\)</blank>%
</answer>

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

Answer:

<pre_analysis>
{
"quality": "clear",
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"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
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"Theoretical Probability",
"Sample Space"
],
"new_concepts": [
"Complementary Probability"
],
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"Theoretical Probability",
"Sample Space",
"Complementary Probability"
]
}
</pre_analysis>

<reasoning>

Find the total number of marbles

\[
\text{Total} = 8 + 9 + 6 = 23
\]

Find the number of marbles that are not red

\[
\text{Not Red} = 9 \text{ (green)} + 6 \text{ (blue)} = 15
\]

Calculate the percentage probability

\[
P(\text{not red}) = \frac{15}{23} \approx 0.65217 \approx 65.2\%
\]
</reasoning>

<answer>
A bag contains 8 red, 9 green, and 6 blue marbles. One marble is drawn at random. What is the probability that the marble is not red?

\(P(\text{not red}) =\) <blank>\(65.2\)</blank>%
</answer>

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