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Home » 50x = 5000 + 20x \\ - Tacotoon

50x = 5000 + 20x \\ - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \left( \frac{80}{101} \right)^3 = \frac{512000}{1030301}

📌 - \frac{512000}{1030301} = \frac{518301}{1030301}

📌 Thus, the probability that the product is divisible by 5 is:

📌 \boxed{\frac{518301}{1030301}}

📌 Question: A geotechnical engineer is analyzing soil samples from three different boreholes, each sample returned a measurement of slope stability ranging from 1 to 6 (inclusive), like a die roll. What is the probability that the sum of the three measurements is even?

📌 Solution: Each die roll (measurement) results in an integer from 1 to 6, each with equal probability. The total number of outcomes is:

📌 We now count the number of outcomes where the sum of the three numbers is even. A sum is even if there are an even number of odd numbers in the sum (i.e., 0 or 2 odd numbers).

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