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Home » You Won’t Believe What Mephiles the Dark Did Next—Urgent Reaction Alert! - Leaselab

You Won’t Believe What Mephiles the Dark Did Next—Urgent Reaction Alert! - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 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:

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

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