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📰 Solution: The total number of possible outcomes for 7 patterns is $4^7$. To count favorable outcomes, choose 3 patterns to show the specific outcome ("extreme heat") in $\binom{7}{3}$ ways, and the remaining 4 patterns must show one of the other 3 outcomes, giving $3^4$ possibilities. The probability is $\frac{\binom{7}{3} \cdot 3^4}{4^7} = \frac{35 \cdot 81}{16384} = \frac{2835}{16384}$. Thus, the final answer is $\boxed{\dfrac{2835}{16384}}$. 📰 Question: A molecular biologist models gene expression with 5 regulatory elements, each having 2 possible states ("active" or "inactive"). What is the probability that exactly 2 elements are active, given each state is equally likely and independent? 📰 Solution: The total number of possible state combinations is $2^5 = 32$. The number of ways to choose 2 elements to be active is $\binom{5}{2} = 10$. Since each combination is equally likely, the probability is $\frac{10}{32} = \frac{5}{16}$. Thus, the final answer is $\boxed{\dfrac{5}{16}}$. 📰 Why Investors Are Melting Over Dsx Stock This Hidden Bet Could Double Your Gains 6957933 📰 Sheva Alomars Secret Weapon How She Dominated Every Fight In The Last Of Us 4011686 📰 Ticketon Leak Exposedyoure Missing The Secret Before It Disappears 6983538 📰 Brescia University 2544678 📰 Inside The Square Deal The Deal That Outshocks Every Other Deal Behind Closed Doors 8155416 📰 Speed Spin Succeed The Top Sight Word Games Every Student Needs 3937947 📰 Mawsil The Game Changing App Everyone Is Talking Aboutread On 7024994 📰 Spichchat The Mystery Behind The Trending Sensation You Cant Ignore 7397859 📰 Ball Sort Game 7886426 📰 Download This Windows 10 Iso And Fix Your System In Minutes 3164615 📰 The One Eleads Crm Trick That Doubles Your Lead Quality Overnight 65541 📰 Glass Animals Songs 9769607 📰 Silent Basketball 3654075 📰 Wells Fargo Coeur Dalene Idaho 9859543 📰 Rod Wave Wallpaper 7590600