question 20

a lottery uses a container with 25 identical balls numbered 1 through 25, from which three balls are selected.

what is the probability that the number 13 is picked first?

$\frac{1}{25}$

$\frac{3}{25}$

$\frac{24}{25}$

$\frac{13}{25}$

Question

question 20

a lottery uses a container with 25 identical balls numbered 1 through 25, from which three balls are selected.

what is the probability that the number 13 is picked first?

$\frac{1}{25}$

$\frac{3}{25}$

$\frac{24}{25}$

$\frac{13}{25}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Theoretical Probability" ], "new_concepts": [], "current_concepts": [ "Theoretical Probability" ] } ## Identify the sample space and favorable outcomes Using the *Theoretical Probability* knowledge point $$ \begin{aligned} &\text{Total number of identical balls } (N) = 25\ &\text{Favorable outcome (picking the ball numbered 13 first)} = 1\ &P(\text{13 is picked first}) = \frac{1}{25} \end{aligned} $$

(A) $\frac{1}{25}$

(B) $\frac{3}{25}$

(C) $\frac{24}{25}$

(D) $\frac{13}{25}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Theoretical Probability" ] }

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Question

Explanation:

Identify the sample space and favorable outcomes

Answer: