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Home » Do You Know What 63 Inches in Feet Looks Like? It’s Way Bigger Than You Think! - Anadea

Do You Know What 63 Inches in Feet Looks Like? It’s Way Bigger Than You Think! - Anadea

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Total non-favorable (no synergistic pair): $20 + 60 = 80$

📌 Question: A Mars rover carries 8 detection modules: 3 infrared, 3 ultraviolet, and 2 lidar-based. If the rover activates 5 modules at random for a scan, what is the probability that it activates at least one from each detection type?

📌 Solution: Total number of ways to choose 5 modules from 8:

📌 We want the number of 5-module selections that include at least one infrared, one ultraviolet, and one lidar module.

📌 Lets count the number of favorable combinations satisfying:

📌 So only $(1,2), (2,1)$; $(3,0)$ invalid, $(0,3)$ invalid

📌 Also $(1,2), (2,1)$ — wait, also $(3,0)$ no, $(0,3)$ no

📌 $(1,2), (2,1), (3,0)$ no — also $(1,2), (2,1), (3,0)$ — only if $i=3, u=0$ invalid

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