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Home » You Won’t Believe What ‘Thwomp’ Does to Your Roomba – Science Shock! - Midis

You Won’t Believe What ‘Thwomp’ Does to Your Roomba – Science Shock! - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 5Chenny’s crime scene investigator friend Alex is analyzing DNA samples. She finds that a suspect’s DNA profile appears in 1 out of every 500 random individuals. If the population pool is 10,000 people, how many individuals would statistically likely match the DNA profile, and if 30 such cases are reviewed, how many matchers would be expected?

📌 First, calculate how many people match the DNA in the population: 10,000 × (1/500) = <<10000*(1/500)=20>>20 people.

📌 Then, for 30 cases, the expected number of matches is: 30 × 20 = <<30*20=600>>600.

📌 Dr. Elena receives a DNA sample from a crime scene with 12 distinct genetic markers. If each marker has a 5% chance of being mismatched in a random person, and mismatches are independent, what is the probability that a random individual matches all 12 markers?

📌 The probability of matching one marker is 1 – 0.05 = 0.95.

📌 For 12 independent markers: 0.95¹² ≈ <<0.95^12=0.54036>>0.54036.

📌 So, the probability is approximately 0.540.

📌 #### 0.540

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