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Home » You’ll Waste No Time: The Ultimate Guide to Making Obsidian in Minecraft! - Tacotoon

You’ll Waste No Time: The Ultimate Guide to Making Obsidian in Minecraft! - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Now subtract the number of solutions where at least one $ y_i > 5 $. L...
Let $ A_i $ be the set of solutions where $ y_i \geq 6 $. Set $ z_i =...
|A_i| = \binom{4 + 4 - 1}{4 - 1} = \binom{7}{3} = 35
There are 4 such sets, so total for single violations: $ 4 \cdot 35 =...
Now consider intersections $ A_i \cap A_j $, where two variables $ \ge...
So total valid solutions:
- 140 = 146
Total possible outcomes from 4 dice rolls: $ 6^4 = 1296 $
Thus, the desired probability is:
\frac{146}{1296} = \boxed{\frac{73}{648}}

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