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Home » Unlock the Mystery of Gold and Silver Pokémon—Here’s What Set Them Apart! - Sourci

Unlock the Mystery of Gold and Silver Pokémon—Here’s What Set Them Apart! - Sourci

📅 May 2, 2026 👤 scraface

May 02, 2026

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So GCD = 2^4 = 16
So $ \frac{144}{256} = \frac{144 \div 16}{256 \div 16} = \frac{9}{16}...
But wait — 144 ÷ 16 = 9? 16×9=144, yes. 256÷16=16, yes.
So the probability is $ \frac{9}{16} $.
But this contradicts intuition — is it really 56.25%?
Let’s compute: number of ways to choose the chosen word (repeated): 4
Choose two other distinct words from remaining 3: $\binom{3}{2} = 3$
Number of ways to assign positions: $ \frac{4!}{2!1!1!} = 12 $
Total: 4×3×12 = 144 — yes.
Total sequences: 256 — yes.

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