Question

a bag contains 6 red, 5 green, and 7 blue marbles. one marble is drawn at random. what is the probability that the marble is not green?

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

round your answer to the nearest whole percent.

Explanation:

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<reasoning>

Calculate total number of marbles

\[
\text{Total} = 6 + 5 + 7 = 18
\]

Determine number of non-green marbles

\[
\text{Not Green} = 6 \text{ (red)} + 7 \text{ (blue)} = 13
\]

Calculate and round the probability

\[
P(\text{not green}) = \frac{13}{18} \approx 0.7222 \approx 72\%
\]
</reasoning>

<answer>
A bag contains 6 red, 5 green, and 7 blue marbles. One marble is drawn at random. What is the probability that the marble is not green?

\(P(\text{not green}) =\) <blank>72</blank>%
</answer>

<post_analysis>
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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Complementary Probability"
]
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Answer:

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

<reasoning>

Calculate total number of marbles

\[
\text{Total} = 6 + 5 + 7 = 18
\]

Determine number of non-green marbles

\[
\text{Not Green} = 6 \text{ (red)} + 7 \text{ (blue)} = 13
\]

Calculate and round the probability

\[
P(\text{not green}) = \frac{13}{18} \approx 0.7222 \approx 72\%
\]
</reasoning>

<answer>
A bag contains 6 red, 5 green, and 7 blue marbles. One marble is drawn at random. What is the probability that the marble is not green?

\(P(\text{not green}) =\) <blank>72</blank>%
</answer>

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