# Nakafa Framework: LLM

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

Exercises: Try Out - Set 10: Simulasi ujian nyata untuk mengasah kemampuan dan kepercayaan diri. - Soal 3

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## Exercise 3

### Question

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

Pada suatu acara HUT RI yang dihadiri oleh <InlineMath math="3000" /> orang, panitia menyediakan <InlineMath math="20" /> hadiah yang akan diundi selama acara berlangsung. Berapa peluang peserta mendapat hadiah?


### Choices

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

### Answer & Explanation

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

Misal <InlineMath math="P(A)" /> adalah peluang setiap orang mendapat hadiah, maka:

<MathContainer>
  <BlockMath math="P(A) = \frac{\text{banyak hadiah}}{\text{banyak peserta}}" />
  <BlockMath math="P(A) = \frac{20}{3000}" />
  <BlockMath math="P(A) = \frac{1}{150}" />
  <BlockMath math="P(A) \approx 0.0067" />
</MathContainer>

Jadi, peluang peserta mendapat hadiah adalah <InlineMath math="0.0067" />.


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