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Home » The Ultimate Greek Bowl Hack You Need to See Before It Goes Viral! - jntua results

The Ultimate Greek Bowl Hack You Need to See Before It Goes Viral! - jntua results

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 #### 19.2Question: A civil engineer is designing a stormwater management system and randomly selects three integers between 0 and 100 inclusive to represent rainfall intensities. What is the probability that the product of these three integers is divisible by 5?

📌 Solution: To determine the probability that the product of three randomly chosen integers between 0 and 100 is divisible by 5, we use complementary probability. First, note that an integer is divisible by 5 if it ends in 0 or 5. Among the integers from 0 to 100, there are 21 multiples of 5 (i.e., 0, 5, 10, ..., 100). Thus, the probability that a single randomly chosen integer is **not** divisible by 5 is:

📌 \frac{80}{101}

📌 Since the choices are independent, the probability that all three selected integers are not divisible by 5 is:

📌 \left( \frac{80}{101} \right)^3

📌 Therefore, the probability that **at least one** of the three integers is divisible by 5 (and hence their product is divisible by 5) is:

📌 - \left( \frac{80}{101} \right)^3

📌 Compute the value:

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