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Home » The diameter of the circle is \(13\) cm, so the radius \(r\) is: - Sourci

The diameter of the circle is \(13\) cm, so the radius \(r\) is: - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 Thus, the probability is $ \boxed{\frac{2}{5}} $.

📌 Question: A cognitive mapping specialist studies decision paths in a grid where each step is either forward or right. If a path from point A to point B requires exactly 4 forward moves and 3 right moves, and each move is chosen at random, what is the probability that the first move is forward and the last move is right?

📌 Total number of valid paths: arrange 4 F’s and 3 R’s →

📌 \text{Total paths} = \binom{7}{4} = 35

📌 Now, fix the first move as F and the last move as R.

📌 That leaves us with: 3 F’s and 2 R’s to arrange in the middle 5 positions.

📌 Number of such favorable paths:

📌 \binom{5}{3} = 10

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