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📰 Question: A science fair judge evaluates 7 student projects, each judged on creativity (C), scientific rigor (R), and presentation (P), with each project receiving a score in each category: high (H) or low (L). The judge considers a project Exceptionally Strong if it receives high scores in at least 5 of the 3 categories. Assuming each score is independently high with probability $ \frac{1}{2} $, what is the probability that exactly 3 out of the 7 projects are Exceptionally Strong? 📰 Solution: First, compute the probability that a single project is Exceptionally Strong, i.e., gets H in at least 5 of the 3 categories. But there are only 3 categories, so getting high in at least 5 is impossible. 📰 Wait — this is a contradiction. A project cannot get high scores in more than 3 categories. The condition at least 5 high scores is impossible. 📰 No Quick Fixes These Hidden Habits Expand Girth Forever 4145937 📰 Brick Veneer Redefines Luxuryexperience The Elegance Hiding Behind Every Smooth Layer 9926619 📰 Total By Verizon Careers 4245792 📰 Justeat Secrets Revealed Why Millions Love Ordering Here Dont Miss Out 9704877 📰 Film Et Cast 4920780 📰 Sd Memory Recovery Software 5895877 📰 Unlock 3 Insane Destiny 2 Builds That Dominate Light Darkness Forever 5733531 📰 Hotels In St Joseph Mo 1671924 📰 Stake Value 10 Of 7500000 750000 5248561 📰 Saint John The Baptist 1729872 📰 The Compound Interest On 1000 At 5 Per Year Compounded Annually For 3 Years Is How Much 3121150 📰 Textplus Apk 5018439 📰 Microsoft Edge View2 Runtime Exposed Why This Feature Could Upgrade Your Browsing Instantly 728471 📰 Watch This Vfh Stock Price Surges To All Time Highfollow The Trend Now 1097193 📰 Private Wealth Management Far Better Fidelitys Formula You Need To Know Now 4170733