# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-10/3

Exercises: Try Out - Set 10: Real exam simulation to sharpen your skills and build confidence. - Question 3

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## Exercise 3

### Question

export const metadata = {
  title: "Question 3",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

At an Independence Day event attended by <InlineMath math="3000" /> people, the committee provides <InlineMath math="20" /> prizes to be drawn during the event. What is the probability that a participant gets a prize?


### Choices

- [ ] $$0.00033$$
- [ ] $$0.00067$$
- [ ] $$0.0033$$
- [x] $$0.0067$$
- [ ] $$0.033$$

### Answer & Explanation

export const metadata = {
  title: "Solution for Question 3",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

Let <InlineMath math="P(A)" /> be the probability that each person gets a prize, then:

<MathContainer>
  <BlockMath math="P(A) = \frac{\text{number of prizes}}{\text{number of participants}}" />
  <BlockMath math="P(A) = \frac{20}{3000}" />
  <BlockMath math="P(A) = \frac{1}{150}" />
  <BlockMath math="P(A) \approx 0.0067" />
</MathContainer>

Therefore, the probability that a participant gets a prize is <InlineMath math="0.0067" />.


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