In an airport with 3 runways, it is known that the probability that runway k is accessed by a randomly arriving airplane is p., where p₁ = 2/9, P2 = 1/6, and p = 11/18. What is the probability that 9 arriving airplanes are

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Chapter1: Combinatorial Analysis
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6. In an airport with 3 runways, it is known that the probability that runway k is accessed by a randomly arriving airplane is \( p_k \), where \( p_1 = \frac{2}{9} \), \( p_2 = \frac{1}{6} \), and \( p_3 = \frac{11}{18} \). What is the probability that 9 arriving airplanes are distributed equally in the 3 runways (3 each)?
Transcribed Image Text:6. In an airport with 3 runways, it is known that the probability that runway k is accessed by a randomly arriving airplane is \( p_k \), where \( p_1 = \frac{2}{9} \), \( p_2 = \frac{1}{6} \), and \( p_3 = \frac{11}{18} \). What is the probability that 9 arriving airplanes are distributed equally in the 3 runways (3 each)?
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