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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Random Number Simulation" ], "current_concepts": [ "Random Number Simulation", "Probability Interpretation" ] } ## Identify the simulation parameters and random numbers $$ \begin{aligned} &\text{Sample size: } n = 30 \ &\text{"Adulthood" representation: } 0, 1, 2, 3, 4, 5 \ &\text{"Before adulthood" representation: } 6, 7, 8, 9 \ &\text{Random number sequence: } 06422\quad 61491\quad 26030\quad 87247\quad 20503\quad 68603 \end{aligned} $$ ## Count "adulthood" digits in the first 30 digits $$ \begin{aligned} &\text{Digits: } \underbrace{0}_{A}, \underbrace{6}_{B}, \underbrace{4}_{A}, \underbrace{2}_{A}, \underbrace{2}_{A}, \quad \underbrace{6}_{B}, \underbrace{1}_{A}, \underbrace{4}_{A}, \underbrace{9}_{B}, \underbrace{1}_{A}, \quad \underbrace{2}_{A}, \underbrace{6}_{B}, \underbrace{0}_{A}, \underbrace{3}_{A}, \underbrace{0}_{A}, \quad \underbrace{8}_{B}, \underbrace{7}_{B}, \underbrace{2}_{A}, \underbrace{4}_{B}, \underbrace{7}_{B}, \quad \underbrace{2}_{A}, \underbrace{0}_{A}, \underbrace{5}_{A}, \underbrace{0}_{A}, \underbrace{3}_{A}, \quad \underbrace{6}_{B}, \underbrace{8}_{B}, \underbrace{6}_{B}, \underbrace{0}_{A}, \underbrace{3}_{A} \ &\text{Adulthood digits (0-5): } 0, 4, 2, 2, 1, 4, 1, 2, 0, 3, 0, 2, 2, 0, 5, 0, 3, 0, 3 \ &\text{Total count: } 19 \end{aligned} $$ ## Match with the closest multiple-choice option $$ \begin{aligned} &\text{Calculated count: } 19 \ &\text{Closest option: } 20 \end{aligned} $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Random Number Simulation" ] }

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Explanation:

Identify the simulation parameters and random numbers

Count "adulthood" digits in the first 30 digits

Match with the closest multiple-choice option

Answer: