QUESTION IMAGE
Question
a cooler contains 100 ice cream bars. there are 10 vanilla bars, 20 mint chocolate chip bars, 30 strawberry bars, and 40 rocky road bars. if one bar is randomly selected determine the probability that the bar selected is vanilla.
the probability that the bar selected is vanilla is .
(type an integer or a simplified fraction.)
<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
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"needs_drawing": false,
"concepts_used": [
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"Fraction Simplification"
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</pre_analysis>
<reasoning>
Identify the total number of outcomes
\[
N = 100
\]
Identify the number of favorable outcomes
\[
n = 10
\]
Calculate and simplify the probability
\[
P(\text{Vanilla}) = \frac{10}{100} = \frac{1}{10}
\]
</reasoning>
<answer>
A cooler contains 100 ice cream bars. There are 10 Vanilla bars, 20 Mint Chocolate Chip bars, 30 Strawberry bars, and 40 Rocky Road bars. If one bar is randomly selected determine the probability that the bar selected is Vanilla.
The probability that the bar selected is Vanilla is <blank>\(\frac{1}{10}\)</blank>.
(Type an integer or a simplified fraction.)
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Theoretical Probability"
]
}
</post_analysis>
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<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Theoretical Probability",
"Fraction Simplification"
],
"new_concepts": [],
"current_concepts": [
"Theoretical Probability",
"Fraction Simplification"
]
}
</pre_analysis>
<reasoning>
Identify the total number of outcomes
\[
N = 100
\]
Identify the number of favorable outcomes
\[
n = 10
\]
Calculate and simplify the probability
\[
P(\text{Vanilla}) = \frac{10}{100} = \frac{1}{10}
\]
</reasoning>
<answer>
A cooler contains 100 ice cream bars. There are 10 Vanilla bars, 20 Mint Chocolate Chip bars, 30 Strawberry bars, and 40 Rocky Road bars. If one bar is randomly selected determine the probability that the bar selected is Vanilla.
The probability that the bar selected is Vanilla is <blank>\(\frac{1}{10}\)</blank>.
(Type an integer or a simplified fraction.)
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Theoretical Probability"
]
}
</post_analysis>