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Home » You Won’t Believe How Real This Robot SpongeBob Looks—Shocking Quality! - ECD Germany

You Won’t Believe How Real This Robot SpongeBob Looks—Shocking Quality! - ECD Germany

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 Question: A UX designer is creating a mobile app with 4 home screen widgets: a calendar, a to-do list, a weather widget, and a fitness tracker. If the designer randomly arranges these widgets in a 2x2 grid, what is the probability that the calendar and weather widget are adjacent (share a side)?

📌 We begin by computing the total number of ways to arrange 4 distinct widgets in a 2x2 grid:

📌 Now we count the number of favorable arrangements where the calendar and weather widget are adjacent. We treat the calendar and weather widget as a single block and count the number of ways to place this block and the other two widgets in the grid.

📌 There are 4 positions in the 2x2 grid. For each position of the calendar-weather block, we check which adjacent positions are available:

📌 So the total number of favorable arrangements is:

📌 But wait — this count exceeds the total number of arrangements (24), which indicates overcounting. The correct approach is to fix adjacency and count valid configurations without overcounting.

📌 We count directly: in a 2x2 grid, there are 4 adjacent pairs of positions:

📌 For each such adjacent pair, we place calendar and weather widget (2 ways), and the other two widgets go in the remaining positions (2 ways):

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