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Home » 2(3\sqrt2)(2\sqrt3) = 12\sqrt6 - AMAZONAWS

2(3\sqrt2)(2\sqrt3) = 12\sqrt6 - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Total: 2^3 = 8.

📌 Probability: 6/8 = 3/4.

📌 List: sequences with exactly one letter twice and one once: e.g., AAB, ABA, BAA — 3 for AB, similarly for BA — total 6. Yes.

📌 Now for 4 decisions, one appears twice, two others once, one unused — so type (2,1,1,0) — yes.

📌 Number of such sequences: as above, 144 out of 256.

📌 But wait — in the 2-choice case, (2,1,0) — but we only use 2 letters, so frequency (2,1,1,0) is still valid.

📌 So our logic holds.

📌 Thus, the probability is $ \frac{144}{256} = \frac{9}{16} $.

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