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Home » numerator and denominator are the what of a fraction - GetMeFoodie

numerator and denominator are the what of a fraction - GetMeFoodie

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Question: How many positive two-digit numbers are divisible by 7?

📌 Question: A sustainable textile innovator in the Netherlands recycles fabric scraps from three batches, each with a 40% chance of yielding usable material due to contamination. What is the probability that at least one batch produces usable material?

📌 Therefore, the probability that at least one batch succeeds is:

📌 Solution: Since the reactions are independent, the probability that all three succeed is:

📌 Question: A digital content strategist creates a community engagement challenge where participants draw cards from a deck of $3n$ uniquely labeled cards numbering from 1 to $3n$. If $n = 4$, and one participant draws 3 cards at random without replacement, what is the probability that the sum of the card numbers is divisible by 3?

📌 Solution: Let $n = 4$, so the deck has $3n = 12$ cards labeled from 1 to 12. We want the probability that the sum of 3 randomly drawn distinct cards is divisible by 3.

📌 We analyze residues modulo 3. The numbers from 1 to 12 modulo 3 fall into three residue classes:

📌 Total favorable: $4 + 4 + 4 + 64 = 76$

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