Question

in a group of students, 65 are in band, 83 are in choir, and 72 are in art club. what is the probability that a randomly selected student isnt in choir?

\\(p(\text{not in choir}) = \quad\\%\\)

round your answer to the nearest whole percent.

Explanation:

<pre_analysis>
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"concepts_used": [
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"current_concepts": [
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</pre_analysis>

<reasoning>

Calculate total number of students

\[
\text{Total} = 65 + 83 + 72 = 220
\]

Calculate number of students not in choir

\[
\text{Not in choir} = 220 - 83 = 137
\]

Calculate probability as a percentage

\[
P(\text{not in choir}) = \frac{137}{220} \approx 0.6227 \approx 62\%
\]
</reasoning>

<answer>
In a group of students, 65 are in band, 83 are in choir, and 72 are in art club. What is the probability that a randomly selected student isn't in choir?

\(P(\text{not in choir}) =\) <blank>62</blank>%
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Complementary 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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"concepts_used": [
"Sample Space",
"Complementary Probability"
],
"new_concepts": [],
"current_concepts": [
"Sample Space",
"Theoretical Probability",
"Complementary Probability"
]
}
</pre_analysis>

<reasoning>

Calculate total number of students

\[
\text{Total} = 65 + 83 + 72 = 220
\]

Calculate number of students not in choir

\[
\text{Not in choir} = 220 - 83 = 137
\]

Calculate probability as a percentage

\[
P(\text{not in choir}) = \frac{137}{220} \approx 0.6227 \approx 62\%
\]
</reasoning>

<answer>
In a group of students, 65 are in band, 83 are in choir, and 72 are in art club. What is the probability that a randomly selected student isn't in choir?

\(P(\text{not in choir}) =\) <blank>62</blank>%
</answer>

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