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Home » Solve for \(b^2\): - Abbey Badges

Solve for \(b^2\): - Abbey Badges

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 - 58593750 + 15728640 - 1180980 + 15360 - 6 = \boxed{2941680}

📌 Final Answer:** $ \boxed{2941680} $

📌 Question:** A stack of 12 distinct cards is shuffled and dealt into 3 equal piles of 4 cards each. What is the probability that a specific card (say, the Ace of Spades) ends up in the first pile?

📌 There are 12 distinct cards, and we deal them into 3 piles of 4 cards each.

📌 We fix the Ace of Spades and compute the probability it lands in the first pile.

📌 Since the deal is random and all card positions are equally likely, the Ace of Spades has an equal chance of being in any of the 12 positions.

📌 There are 4 positions in the first pile. Therefore, the probability the Ace of Spades is in the first pile is:

📌 \frac{4}{12} = \boxed{\frac{1}{3}}

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