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Home » Solution: We compute the number of distinct permutations of a multiset: - Anadea

Solution: We compute the number of distinct permutations of a multiset: - Anadea

📅 May 16, 2026 👤 scraface

May 16, 2026

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Multiply all parts:
\cdot 0.0625 \cdot 0.421875 = 0.626953125
\boxed{0.626953125}
Question: An AI system classifies 7 independent data points into two c...
Solution: This is a binomial probability problem with $ n = 7 $, $ p =...
Using the binomial formula:
$ P(5) = \binom{7}{5} (0.4)^5 (0.6)^2 = 21 \cdot 0.01024 \cdot 0.36 =...
$ P(6) = \binom{7}{6} (0.4)^6 (0.6)^1 = 7 \cdot 0.004096 \cdot 0.6 = 0...
$ P(7) = \binom{7}{7} (0.4)^7 (0.6)^0 = 1 \cdot 0.0016384 \cdot 1 = 0....
P(X \geq 5) = 0.0774144 + 0.0172032 + 0.0016384 = 0.096256

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