* Fahmi melakukan pelambungan dua dadu secara bersama-sama.Variabel acak X menyatakan selisih kedua mata dadu yang muncul.Peluang diperoleh hasil selisih kedua mata dadu 4 adalah... A. $$ \frac{1}{6} $$ B. $$ \frac{1}{9} $$ C. $$ \frac{2}{9} $$ D. $$ \frac{1}{18} $$ E. $$ \frac{5}{18} $$

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UpStudy AI · Accepted Answer

1. Total outcomes when two dice are rolled are $$6 \times 6 = 36$$.

2. For the absolute difference $$X$$ between the numbers on the two dice to be 4, we need pairs $$(a, b)$$ such that $$|a-b| = 4$$.

3. The valid pairs are:
   - $$(1, 5)$$ and $$(5, 1)$$ because $$|1-5| = 4$$
   - $$(2, 6)$$ and $$(6, 2)$$ because $$|2-6| = 4$$

4. There are 4 favorable outcomes.

5. The probability is calculated as:
   $$
   P(X=4)=\frac{\text{Number of favorable outcomes}}{\text{Total outcomes}}=\frac{4}{36}=\frac{1}{9}
   $$

6. Therefore, the answer is $$ \frac{1}{9} $$.
The probability of the difference being 4 is $$ \frac{1}{9} $$.

* Fahmi melakukan pelambungan dua dadu secara bersama-sama.Variabel acak X menyatakan selisih kedua mata dadu yang muncul.Peluang diperoleh hasil selisih kedua mata dadu 4 adalah... A. \( \frac{1}{6} \) B. \( \frac{1}{9} \) C. \( \frac{2}{9} \) D. \( \frac{1}{18} \) E. \( \frac{5}{18} \)

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