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📰 #### 50Question: A software compliance consultant must verify 12 data modules, 3 of which are non-compliant. If 4 modules are randomly selected for audit, what is the probability that exactly 2 are non-compliant? 📰 Solution: The total number of ways to choose 4 modules from 12 is $\binom{12}{4}$. The number of favorable outcomes (2 non-compliant and 2 compliant) is $\binom{3}{2} \cdot \binom{9}{2}$. Thus, the probability is $\frac{\binom{3}{2} \cdot \binom{9}{2}}{\binom{12}{4}} = \frac{3 \cdot 36}{495} = \frac{108}{495} = \frac{12}{55}$. \boxed{\dfrac{12}{55}} 📰 Question: A nanotechnologist is designing a material with 5 types of quantum dots and 7 types of nanotubes. If 3 components are randomly selected, what is the probability that at least one is a quantum dot? 📰 Sources Say Hong Kong To Usd And The Details Emerge 📰 Viral Moment How Do You Insert A Superscript In Word And Experts Are Shocked 📰 Your Hip Dip Is So Shockingno One Saw This Coming 3971993 📰 Afrikaner Refugees 1912383 📰 How Many Carbs In Grapes 5933493 📰 Stock Market Shock Shell Stock Prices Are Surgingbuy Now At A Fraction Of Cost 1097195 📰 Redeem Roblox Robux Code 📰 Discover The Best Dinining Claremont Has To Offerfoodies Wake Up 1557507 📰 Webber International University 4573694 📰 619 Area Code In California 3112485 📰 Kids Credit Card 📰 Stock Market News September 26 2025 📰 Oracle Ebs Sso Setup 📰 Tradeing Veiw 📰 Yugo Model Car 1792758