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Home » Kombutsa Secrets You’re NOT Supposed to Share—Shocker Truth Inside! - DNSFLEX

Kombutsa Secrets You’re NOT Supposed to Share—Shocker Truth Inside! - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question:** A statistician is analyzing a discrete uniform distribution over integers from 1 to 84. What is the probability that a randomly selected integer from this range is a multiple of both 7 and 4?

📌 Solution:** A number divisible by both 7 and 4 must be divisible by \( \text{lcm}(7, 4) = 28 \).

📌 Find how many multiples of 28 are in \( \{1, 2, \dots, 84\} \):

📌 28, 56, 84

📌 These are \( 28 \cdot 1, 28 \cdot 2, 28 \cdot 3 \), so there are 3 such numbers.

📌 Total integers from 1 to 84: 84.

📌 \frac{3}{84} = \frac{1}{28}

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