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all about lily chou chou - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 The problem reduces to choosing 4 positions out of 6 for the digit 3. The number of ways to choose 4 positions from 6 is given by the binomial coefficient:

📌 A jar contains 5 yellow marbles, 7 purple marbles, and 3 orange marbles. If three marbles are drawn at random without replacement, what is the probability that exactly two are purple?

📌 We are drawing 3 marbles from a total of:

📌 We want exactly 2 purple marbles and 1 non-purple marble (either yellow or orange).

📌 First, compute the total number of ways to choose 3 marbles from 15:

📌 Now, compute the number of favorable outcomes: exactly 2 purple and 1 non-purple.

📌 Number of ways to choose 2 purple marbles from 7:

📌 Number of ways to choose 1 non-purple marble:

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