QUESTION IMAGE
Question
each individual letter of the word minnesota is placed on a piece of paper, and all 9 pieces of paper are placed in a hat. if one letter is selected at random from the hat, find the probability that a consonant is selected.
p(consonant) =
(type a fraction. simplify your answer.)
<pre_analysis>
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</pre_analysis>
<reasoning>
Count the total outcomes
\[
\text{Total letters in "Minnesota"} = 9
\]
Count the favorable outcomes
\[
\text{Consonants: M, n, n, s, t} \implies \text{Count} = 5
\]
Calculate the probability
\[
P(\text{consonant}) = \frac{5}{9}
\]
</reasoning>
<answer>
Each individual letter of the word Minnesota is placed on a piece of paper, and all 9 pieces of paper are placed in a hat. If one letter is selected at random from the hat, find the probability that a consonant is selected.
\(P(\text{consonant}) =\) <blank>\(\frac{5}{9}\)</blank>
(Type a fraction. Simplify your answer.)
</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>
Count the total outcomes
\[
\text{Total letters in "Minnesota"} = 9
\]
Count the favorable outcomes
\[
\text{Consonants: M, n, n, s, t} \implies \text{Count} = 5
\]
Calculate the probability
\[
P(\text{consonant}) = \frac{5}{9}
\]
</reasoning>
<answer>
Each individual letter of the word Minnesota is placed on a piece of paper, and all 9 pieces of paper are placed in a hat. If one letter is selected at random from the hat, find the probability that a consonant is selected.
\(P(\text{consonant}) =\) <blank>\(\frac{5}{9}\)</blank>
(Type a fraction. Simplify your answer.)
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Theoretical Probability"
]
}
</post_analysis>